Differentiation Microscope

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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?

Contributed by: Wolfgang Narrath and Reinhard Simonovits (March 2011)
Open content licensed under CC BY-NC-SA


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