The Heaviside function (Section 2.3, Exercise 25), defined by The following functions all fail to be differentiable
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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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H(x)=l if x20.
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The slope of any secant with x 0 is 0 With x 0 the sl...View the full answer
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Related Book For
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
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