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.

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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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