A Differentiable Function is Continuous: Proof

2개월 전


In this video I go over the theorem: If a function is differentiable then it is also continuous. This theorem basically means if the derivative exists at a, then it is also continuous at a. I also provide a simple proof using the definition of a derivative.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiLwZD2zTpX-nR6MjFw?e=jZTO5N

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/a-differentiable-function-is-continuous-proof

Related Videos:

Is a function Differentiable? + Example: y = |x|: http://youtu.be/th51Xz7YmvI
Derivatives Notation and Biography of Leibniz: http://youtu.be/ROKtFQqJOBE
Continuity: http://youtu.be/_tBGb7Ku-CM
Continuity and Open and Closed Intervals: http://youtu.be/u29fd3WYT-g
Definition of Derivative Simple Explanation: http://youtu.be/0rjGMpM06Eg
Is the function Differentiable?? + Notation and Graphing of Derivatives: http://youtu.be/TjDApzC2D7I .


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I don't always determine if a function is differentiable but when I do I realize it's continuous as well ;)

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/a-differentiable-function-is-continuous-proof