-
Continuity and Differentiability EXPLAINED with Examples
Learn the meaning behind Continuity and Differentiability. This video explains what Continuity is and the 3 rules for a function to be continuous at a point. Then we discuss what is needed for a function to be continuous on an interval. We also cover this topic with plenty of examples for each rule. Next, we explain Differentiability and the 1 rule for a function to be differentiable at a point. Similarly to Continuity, we then discuss how a function can be a differentiable on an interval. Once again, this concept is explained with a few examples. And don't miss our tips and tricks for determining the Continuity and Differentiability of a function!
For more help, visit: https://theacetutors.com
For more videos/content, visit: https://theacetutors.com/blog
Sign up for tutoring: htt...
published: 29 Mar 2022
-
Differentiable Functions
published: 02 Feb 2020
-
Continuity and Differentiability
This calculus video tutorial provides a basic introduction into continuity and differentiability.
Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU
How To Evaluate Limits From a Graph:
https://www.youtube.com/watch?v=7Q2HwTHcxA0
Evaluating Limits By Factoring:
https://www.youtube.com/watch?v=fOrOeZA-vdY
Limits of Rational Functions :
https://www.youtube.com/watch?v=M2BgBG2Su94
Limits of Radical Functions:
https://www.youtube.com/watch?v=qay5HvT1UK8
Limits of Trigonometric Functions:
https://www.youtube.com/watch?v=HbtuSC_WOW0
___________________________________
How To Find The Limit at Infinity:
https://www.youtube.com/watch?v=NmLljBAg82o
Infinite Limits +...
published: 25 Mar 2018
-
What is differentiability for multivariable functions??
How should we define differentiability of multivaraible functions? We saw in the previous video of our Calc III playlist that partial derivatives is not enough because we saw an example of a discontinuous function whose partials didn't exist, violating our intuition from Calculus I. In this video we will dive back into Calc 1 and rephrase the normal limit definition of the derivative in terms of errors. That formulation of the derivative concept extends nicely to the multivariable case and gives us a nice definition. Finally we note the theorem that if the partials exist and are continuous then we have existence of the derivative.
****************************************************
COURSE PLAYLISTS:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
...
published: 17 Jun 2020
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How to determine if a function is continuous and differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the domain.
A function is said to be continuous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Otherwise the function is discontinuous.
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu...
published: 14 Oct 2017
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Differentiability (Formal Definition)
More resources available at www.misterwootube.com
published: 21 Jul 2015
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Differentiability at a point for a piecewise function AP Calculus
Differentiability and Continuity Complete Concept: https://www.youtube.com/watch?v=D0VPWt_DgFo&list=PLJ-ma5dJyAqoj8UZVmKdJNzg7ou5HK7lS&index=1
https://www.youtube.com/@MathematicsTutor Anil Kumar Math Classes: https://www.globalmathinstitute.com/class-enrollment/
#AnilKumar #globalmathinstitute #continuity #Differentiability #Limits #Calculus #Piecewise #Functions #Derivatives #Continuous #TestDifferentiability
Continuity
The function f is continuous at x=c iff f(c) exists
lim┬(x→c)〖f(x)〗 exists
lim┬(x→c)〖f(x)〗=f(c)
Differentiability
The function f is differentiable at x=c if f'(c) has a numeric value
If f is differentiable at every value of x in an interval, then f is differentiable on that interval.
NOTE: The limits of f'(c) should exist for differentiability
published: 06 Jul 2018
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Differentiability at a point: algebraic (function isn't differentiable) | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-4/v/differentiability-at-a-point-algebraic-not-differentiable
Sal analyzes a piecewise function to see if it's differentiable or continuous at the edge point. In this case, the function is continuous but not differentiable.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/e/differentiability-at-a-point-algebraic?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/v/derivative-as-slope-of-tangent-line?utm_source=Y...
published: 19 Jul 2016
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Where a function is not differentiable | Taking derivatives | Differential Calculus | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/calculus-all-old/taking-derivatives-calc/differentiability-calc/v/where-a-function-is-not-differentiable
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/e/graphs-of-functions-and-their-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/identifying-a-function-s-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Missed the previous lesson?
https://www.khanacad...
published: 22 Aug 2013
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Learn how to determine if a function is continuous and differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the domain.
A function is said to be continuous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Otherwise the function is discontinuous.
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu...
published: 16 Oct 2017
5:33
Continuity and Differentiability EXPLAINED with Examples
Learn the meaning behind Continuity and Differentiability. This video explains what Continuity is and the 3 rules for a function to be continuous at a point. ...
Learn the meaning behind Continuity and Differentiability. This video explains what Continuity is and the 3 rules for a function to be continuous at a point. Then we discuss what is needed for a function to be continuous on an interval. We also cover this topic with plenty of examples for each rule. Next, we explain Differentiability and the 1 rule for a function to be differentiable at a point. Similarly to Continuity, we then discuss how a function can be a differentiable on an interval. Once again, this concept is explained with a few examples. And don't miss our tips and tricks for determining the Continuity and Differentiability of a function!
For more help, visit: https://theacetutors.com
For more videos/content, visit: https://theacetutors.com/blog
Sign up for tutoring: https://theacetutors.com/register
https://wn.com/Continuity_And_Differentiability_Explained_With_Examples
Learn the meaning behind Continuity and Differentiability. This video explains what Continuity is and the 3 rules for a function to be continuous at a point. Then we discuss what is needed for a function to be continuous on an interval. We also cover this topic with plenty of examples for each rule. Next, we explain Differentiability and the 1 rule for a function to be differentiable at a point. Similarly to Continuity, we then discuss how a function can be a differentiable on an interval. Once again, this concept is explained with a few examples. And don't miss our tips and tricks for determining the Continuity and Differentiability of a function!
For more help, visit: https://theacetutors.com
For more videos/content, visit: https://theacetutors.com/blog
Sign up for tutoring: https://theacetutors.com/register
- published: 29 Mar 2022
- views: 139513
32:48
Continuity and Differentiability
This calculus video tutorial provides a basic introduction into continuity and differentiability.
Introduction to Limits: https://www.youtu...
This calculus video tutorial provides a basic introduction into continuity and differentiability.
Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU
How To Evaluate Limits From a Graph:
https://www.youtube.com/watch?v=7Q2HwTHcxA0
Evaluating Limits By Factoring:
https://www.youtube.com/watch?v=fOrOeZA-vdY
Limits of Rational Functions :
https://www.youtube.com/watch?v=M2BgBG2Su94
Limits of Radical Functions:
https://www.youtube.com/watch?v=qay5HvT1UK8
Limits of Trigonometric Functions:
https://www.youtube.com/watch?v=HbtuSC_WOW0
___________________________________
How To Find The Limit at Infinity:
https://www.youtube.com/watch?v=NmLljBAg82o
Infinite Limits + Vertical Asymptotes:
https://www.youtube.com/watch?v=xvFqomOpLrs
Limits at Infinity With Radicals:
https://www.youtube.com/watch?v=1hyoTeWg6Bs
Limits of Absolute Value Functions:
https://www.youtube.com/watch?v=wFeh4ByT0xs
Limits of Composite Functions:
https://www.youtube.com/watch?v=KjL9cWHzeIc
The Squeeze Theorem:
https://www.youtube.com/watch?v=lVIb9iJ-rRI
____________________________________
Limits and Logarithms:
https://www.youtube.com/watch?v=fHzmQmcvheI
Limits of Exponential Functions:
https://www.youtube.com/watch?v=pcUXo7XbRaM
Piecewise Functions - Limits:
https://www.youtube.com/watch?v=JrYmEo6hoiU
3 Step Continuity Test:
https://www.youtube.com/watch?v=WT7oxiiFYt8
Continuity and Differentiability:
https://www.youtube.com/watch?v=fml0-ELYLaE
Limits - Test Review:
https://www.youtube.com/watch?v=6e4Wtgc43KQ
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
https://wn.com/Continuity_And_Differentiability
This calculus video tutorial provides a basic introduction into continuity and differentiability.
Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU
How To Evaluate Limits From a Graph:
https://www.youtube.com/watch?v=7Q2HwTHcxA0
Evaluating Limits By Factoring:
https://www.youtube.com/watch?v=fOrOeZA-vdY
Limits of Rational Functions :
https://www.youtube.com/watch?v=M2BgBG2Su94
Limits of Radical Functions:
https://www.youtube.com/watch?v=qay5HvT1UK8
Limits of Trigonometric Functions:
https://www.youtube.com/watch?v=HbtuSC_WOW0
___________________________________
How To Find The Limit at Infinity:
https://www.youtube.com/watch?v=NmLljBAg82o
Infinite Limits + Vertical Asymptotes:
https://www.youtube.com/watch?v=xvFqomOpLrs
Limits at Infinity With Radicals:
https://www.youtube.com/watch?v=1hyoTeWg6Bs
Limits of Absolute Value Functions:
https://www.youtube.com/watch?v=wFeh4ByT0xs
Limits of Composite Functions:
https://www.youtube.com/watch?v=KjL9cWHzeIc
The Squeeze Theorem:
https://www.youtube.com/watch?v=lVIb9iJ-rRI
____________________________________
Limits and Logarithms:
https://www.youtube.com/watch?v=fHzmQmcvheI
Limits of Exponential Functions:
https://www.youtube.com/watch?v=pcUXo7XbRaM
Piecewise Functions - Limits:
https://www.youtube.com/watch?v=JrYmEo6hoiU
3 Step Continuity Test:
https://www.youtube.com/watch?v=WT7oxiiFYt8
Continuity and Differentiability:
https://www.youtube.com/watch?v=fml0-ELYLaE
Limits - Test Review:
https://www.youtube.com/watch?v=6e4Wtgc43KQ
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
- published: 25 Mar 2018
- views: 811850
14:35
What is differentiability for multivariable functions??
How should we define differentiability of multivaraible functions? We saw in the previous video of our Calc III playlist that partial derivatives is not enough ...
How should we define differentiability of multivaraible functions? We saw in the previous video of our Calc III playlist that partial derivatives is not enough because we saw an example of a discontinuous function whose partials didn't exist, violating our intuition from Calculus I. In this video we will dive back into Calc 1 and rephrase the normal limit definition of the derivative in terms of errors. That formulation of the derivative concept extends nicely to the multivariable case and gives us a nice definition. Finally we note the theorem that if the partials exist and are continuous then we have existence of the derivative.
****************************************************
COURSE PLAYLISTS:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►DIFFERENTIAL EQUATIONS (Calc IV): https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
****************************************************
►Follow me on Twitter: http://twitter.com/treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
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https://wn.com/What_Is_Differentiability_For_Multivariable_Functions
How should we define differentiability of multivaraible functions? We saw in the previous video of our Calc III playlist that partial derivatives is not enough because we saw an example of a discontinuous function whose partials didn't exist, violating our intuition from Calculus I. In this video we will dive back into Calc 1 and rephrase the normal limit definition of the derivative in terms of errors. That formulation of the derivative concept extends nicely to the multivariable case and gives us a nice definition. Finally we note the theorem that if the partials exist and are continuous then we have existence of the derivative.
****************************************************
COURSE PLAYLISTS:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►DIFFERENTIAL EQUATIONS (Calc IV): https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
****************************************************
►Follow me on Twitter: http://twitter.com/treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
- published: 17 Jun 2020
- views: 96516
2:21
How to determine if a function is continuous and differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To c...
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the domain.
A function is said to be continuous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Otherwise the function is discontinuous.
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community
Organized Videos:
✅The Derivative
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqo77frg_9LHGDoZJVEGxf
✅Find the First and Second Derivatives of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMo7t1SPqPPqNWP0H6RHJsMt
✅Find the Differentiability of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr3Jtw7pNNNpUC3wq0gTHd0
✅Find the Derivative of Absolute Value Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoWe5s5lxLQTt9m8Mncs4_i
✅Find the Derivative of Exponential and Logarithmic Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqmKZfNTgVDnFDIfyNuU90V
✅Find the Derivative using Implicit Differentiation
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrkUs2x5l74_45WXKr-ZgMc
✅Find the Derivative of Inverse Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoyuBfZLvhGS1OUQ-qV8QMa
✅Find the Point Where the Tagent Line is Horizontal
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqOByATIWaKuQ20tBHzAtDq
✅Write the Equation of the Tangent Line
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrmIkArKENTujeeII2wMyRn
✅Find the Derivative from a Table
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrnyeMsdsY5v6cChnmtL4HN
✅Chain Rule Differentiation
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpjrRBrVXZZlNf1qBdfWrBC
✅Product Rule Derivatives
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpwFUiW8vRQmVf_kaiQwxx-
✅Find the Derivative of Trigonometric Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqiMQE6zLS9VgdCFWEQbk8H
✅Find the Derivative using the Power Rule
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMp7QnHjoPbKL981jt7W4Azx
✅Quotient Rule Derivatives
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr1IIhEXHVB8Yrs5dyVgAOo
✅Solve Related Rates Problems
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqx4Y9sVYJNSw28AoSD1G6
🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists
🌐 My Website - http://www.freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57
Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
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⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/
👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#derivatives #brianmclogan
https://wn.com/How_To_Determine_If_A_Function_Is_Continuous_And_Differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the domain.
A function is said to be continuous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Otherwise the function is discontinuous.
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community
Organized Videos:
✅The Derivative
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqo77frg_9LHGDoZJVEGxf
✅Find the First and Second Derivatives of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMo7t1SPqPPqNWP0H6RHJsMt
✅Find the Differentiability of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr3Jtw7pNNNpUC3wq0gTHd0
✅Find the Derivative of Absolute Value Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoWe5s5lxLQTt9m8Mncs4_i
✅Find the Derivative of Exponential and Logarithmic Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqmKZfNTgVDnFDIfyNuU90V
✅Find the Derivative using Implicit Differentiation
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrkUs2x5l74_45WXKr-ZgMc
✅Find the Derivative of Inverse Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoyuBfZLvhGS1OUQ-qV8QMa
✅Find the Point Where the Tagent Line is Horizontal
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqOByATIWaKuQ20tBHzAtDq
✅Write the Equation of the Tangent Line
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrmIkArKENTujeeII2wMyRn
✅Find the Derivative from a Table
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrnyeMsdsY5v6cChnmtL4HN
✅Chain Rule Differentiation
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpjrRBrVXZZlNf1qBdfWrBC
✅Product Rule Derivatives
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpwFUiW8vRQmVf_kaiQwxx-
✅Find the Derivative of Trigonometric Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqiMQE6zLS9VgdCFWEQbk8H
✅Find the Derivative using the Power Rule
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMp7QnHjoPbKL981jt7W4Azx
✅Quotient Rule Derivatives
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr1IIhEXHVB8Yrs5dyVgAOo
✅Solve Related Rates Problems
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqx4Y9sVYJNSw28AoSD1G6
🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists
🌐 My Website - http://www.freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57
Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
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⚡️Twitter - https://twitter.com/mrbrianmclogan
⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/
👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#derivatives #brianmclogan
- published: 14 Oct 2017
- views: 384712
4:12
Differentiability (Formal Definition)
More resources available at www.misterwootube.com
More resources available at www.misterwootube.com
https://wn.com/Differentiability_(Formal_Definition)
More resources available at www.misterwootube.com
- published: 21 Jul 2015
- views: 66644
6:38
Differentiability at a point for a piecewise function AP Calculus
Differentiability and Continuity Complete Concept: https://www.youtube.com/watch?v=D0VPWt_DgFo&list=PLJ-ma5dJyAqoj8UZVmKdJNzg7ou5HK7lS&index=1
https://www.youtu...
Differentiability and Continuity Complete Concept: https://www.youtube.com/watch?v=D0VPWt_DgFo&list=PLJ-ma5dJyAqoj8UZVmKdJNzg7ou5HK7lS&index=1
https://www.youtube.com/@MathematicsTutor Anil Kumar Math Classes: https://www.globalmathinstitute.com/class-enrollment/
#AnilKumar #globalmathinstitute #continuity #Differentiability #Limits #Calculus #Piecewise #Functions #Derivatives #Continuous #TestDifferentiability
Continuity
The function f is continuous at x=c iff f(c) exists
lim┬(x→c)〖f(x)〗 exists
lim┬(x→c)〖f(x)〗=f(c)
Differentiability
The function f is differentiable at x=c if f'(c) has a numeric value
If f is differentiable at every value of x in an interval, then f is differentiable on that interval.
NOTE: The limits of f'(c) should exist for differentiability
https://wn.com/Differentiability_At_A_Point_For_A_Piecewise_Function_Ap_Calculus
Differentiability and Continuity Complete Concept: https://www.youtube.com/watch?v=D0VPWt_DgFo&list=PLJ-ma5dJyAqoj8UZVmKdJNzg7ou5HK7lS&index=1
https://www.youtube.com/@MathematicsTutor Anil Kumar Math Classes: https://www.globalmathinstitute.com/class-enrollment/
#AnilKumar #globalmathinstitute #continuity #Differentiability #Limits #Calculus #Piecewise #Functions #Derivatives #Continuous #TestDifferentiability
Continuity
The function f is continuous at x=c iff f(c) exists
lim┬(x→c)〖f(x)〗 exists
lim┬(x→c)〖f(x)〗=f(c)
Differentiability
The function f is differentiable at x=c if f'(c) has a numeric value
If f is differentiable at every value of x in an interval, then f is differentiable on that interval.
NOTE: The limits of f'(c) should exist for differentiability
- published: 06 Jul 2018
- views: 77073
6:21
Differentiability at a point: algebraic (function isn't differentiable) | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation...
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-4/v/differentiability-at-a-point-algebraic-not-differentiable
Sal analyzes a piecewise function to see if it's differentiable or continuous at the edge point. In this case, the function is continuous but not differentiable.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/e/differentiability-at-a-point-algebraic?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/v/derivative-as-slope-of-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/v/differentiability-at-a-point-algebraic-is-differentiable?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
https://wn.com/Differentiability_At_A_Point_Algebraic_(Function_Isn't_Differentiable)_|_Khan_Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-4/v/differentiability-at-a-point-algebraic-not-differentiable
Sal analyzes a piecewise function to see if it's differentiable or continuous at the edge point. In this case, the function is continuous but not differentiable.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/e/differentiability-at-a-point-algebraic?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/v/derivative-as-slope-of-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/v/differentiability-at-a-point-algebraic-is-differentiable?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 19 Jul 2016
- views: 192819
3:35
Where a function is not differentiable | Taking derivatives | Differential Calculus | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/calculus-all-old/taking-derivativ...
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/calculus-all-old/taking-derivatives-calc/differentiability-calc/v/where-a-function-is-not-differentiable
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/e/graphs-of-functions-and-their-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/identifying-a-function-s-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/graphs-of-functions-and-their-derivatives-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Differential Calculus channel:
https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
https://wn.com/Where_A_Function_Is_Not_Differentiable_|_Taking_Derivatives_|_Differential_Calculus_|_Khan_Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/calculus-all-old/taking-derivatives-calc/differentiability-calc/v/where-a-function-is-not-differentiable
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/e/graphs-of-functions-and-their-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/identifying-a-function-s-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/graphs-of-functions-and-their-derivatives-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Differential Calculus channel:
https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 22 Aug 2013
- views: 415532
0:53
Learn how to determine if a function is continuous and differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To c...
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the domain.
A function is said to be continuous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Otherwise the function is discontinuous.
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community
Organized Videos:
✅The Derivative
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqo77frg_9LHGDoZJVEGxf
✅Find the First and Second Derivatives of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMo7t1SPqPPqNWP0H6RHJsMt
✅Find the Differentiability of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr3Jtw7pNNNpUC3wq0gTHd0
✅Find the Derivative of Absolute Value Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoWe5s5lxLQTt9m8Mncs4_i
✅Find the Derivative of Exponential and Logarithmic Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqmKZfNTgVDnFDIfyNuU90V
✅Find the Derivative using Implicit Differentiation
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrkUs2x5l74_45WXKr-ZgMc
✅Find the Derivative of Inverse Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoyuBfZLvhGS1OUQ-qV8QMa
✅Find the Point Where the Tagent Line is Horizontal
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqOByATIWaKuQ20tBHzAtDq
✅Write the Equation of the Tangent Line
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrmIkArKENTujeeII2wMyRn
✅Find the Derivative from a Table
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrnyeMsdsY5v6cChnmtL4HN
✅Chain Rule Differentiation
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpjrRBrVXZZlNf1qBdfWrBC
✅Product Rule Derivatives
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpwFUiW8vRQmVf_kaiQwxx-
✅Find the Derivative of Trigonometric Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqiMQE6zLS9VgdCFWEQbk8H
✅Find the Derivative using the Power Rule
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMp7QnHjoPbKL981jt7W4Azx
✅Quotient Rule Derivatives
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr1IIhEXHVB8Yrs5dyVgAOo
✅Solve Related Rates Problems
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqx4Y9sVYJNSw28AoSD1G6
🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists
🌐 My Website - http://www.freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57
Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
⚡️Twitter - https://twitter.com/mrbrianmclogan
⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/
👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#derivatives #brianmclogan
https://wn.com/Learn_How_To_Determine_If_A_Function_Is_Continuous_And_Differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the domain.
A function is said to be continuous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Otherwise the function is discontinuous.
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community
Organized Videos:
✅The Derivative
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqo77frg_9LHGDoZJVEGxf
✅Find the First and Second Derivatives of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMo7t1SPqPPqNWP0H6RHJsMt
✅Find the Differentiability of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr3Jtw7pNNNpUC3wq0gTHd0
✅Find the Derivative of Absolute Value Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoWe5s5lxLQTt9m8Mncs4_i
✅Find the Derivative of Exponential and Logarithmic Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqmKZfNTgVDnFDIfyNuU90V
✅Find the Derivative using Implicit Differentiation
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrkUs2x5l74_45WXKr-ZgMc
✅Find the Derivative of Inverse Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoyuBfZLvhGS1OUQ-qV8QMa
✅Find the Point Where the Tagent Line is Horizontal
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqOByATIWaKuQ20tBHzAtDq
✅Write the Equation of the Tangent Line
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrmIkArKENTujeeII2wMyRn
✅Find the Derivative from a Table
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrnyeMsdsY5v6cChnmtL4HN
✅Chain Rule Differentiation
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpjrRBrVXZZlNf1qBdfWrBC
✅Product Rule Derivatives
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpwFUiW8vRQmVf_kaiQwxx-
✅Find the Derivative of Trigonometric Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqiMQE6zLS9VgdCFWEQbk8H
✅Find the Derivative using the Power Rule
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMp7QnHjoPbKL981jt7W4Azx
✅Quotient Rule Derivatives
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr1IIhEXHVB8Yrs5dyVgAOo
✅Solve Related Rates Problems
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqx4Y9sVYJNSw28AoSD1G6
🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists
🌐 My Website - http://www.freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57
Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
⚡️Twitter - https://twitter.com/mrbrianmclogan
⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/
👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#derivatives #brianmclogan
- published: 16 Oct 2017
- views: 11624