The Heaviside function (Section 2.3, Exercise 25), defined by The following functions all fail to be differentiable

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The Heaviside function (Section 2.3, Exercise 25), defined by
The Heaviside function (Section 2.3, Exercise 25), defined byThe following

The following functions all fail to be differentiable at x = 0. In each case, graph the function, see what happens if you try to compute the derivative as the limit of the slopes of secant lines, and say something about the tangent line.

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