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When Do Derivatives Not Exist?

In this video, you will show that the derivative of the absolute value function does not exist at x=0 by using the limit definition of the derivative. You will also learn how to use graphs to detect where the derivative does not exist. Notes: https://drive.google.com/file/d/11lch... Previous Video:    • The Derivative as a Function   Next Video:    • Differentiability and Continuity   Calculus 1 playlist:    • Calculus 1   The video about finding limits of functions involving absolute value:    • Limits of Functions Involving Absolute Value   The video about where the limit definition of the derivative comes from:    • The Derivative as a Limit   The video about using the limit definition of the derivative:    • Using the Limit Definition of the Derivative   If you want to know who I am, you can visit my personal website at https://www.pawelgrzegrzolka.com/ Timestamps: 00:00 Warm-Up Exercise 00:53 Showing that the Derivative of |x| Does Not Exist at x=0 Using the Limit Definition of the Derivative 04:36 Showing that the Derivative of |x| Does Not Exist at x=0 Using the Graph 05:31 Definition of Differentiability 05:59 Examples of Differentiable Functions 06:39 Examples of Non-Differentiable Functions 08:12 Exercise 1: Determining Where the Given Function Is Not Differentiable Using the Graph