Wolfram Demonstrations Project

This differentiation microscope lets you graphically explore if a function is differentiable at a given point

. If you "zoom in" at any point

and you see that in a very close neighborhood of

the function looks like a linear function, then the function

is differentiable at

, otherwise not. Can you find points where

is differentiable and points where otherwise it is not?

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Differentiation Microscope