(a) Write |x| = Vr? and use the Chain Rule to show that dx |x| (b) If f(x) = | sin x|, find f'(x) and sketch the graphs of f and f'. Where is f not differentiable? (c) If g(x) = sin |x|, find g'(x) and sketch the graphs of g and g'. Where is g not differentiable?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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Question

(a) Write |x| = Vr? and use the Chain Rule to show that
dx
|x|
(b) If f(x) = | sin x|, find f'(x) and sketch the graphs of f
and f'. Where is f not differentiable?
(c) If g(x) = sin |x|, find g'(x) and sketch the graphs of g
and g'. Where is g not differentiable?

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