7. Suppose that f: R R is differentiable at c and that f(c) = 0. Show that g(x):= |f(x)| is differentiable at c if and only if f' (c) = 0. %3D 1 Gnd the
7. Suppose that f: R R is differentiable at c and that f(c) = 0. Show that g(x):= |f(x)| is differentiable at c if and only if f' (c) = 0. %3D 1 Gnd the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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q7
Transcribed Image Text:which values of n is f continuous al U?
7. Suppose that f : R R is differentiable at c and that f(c) = 0. Show that g(x):= |f(x)| is
differentiable at c if and only if f' (c) = 0.
8. Determine where each of the following functions from R to R is differentiable and find the
derivative:
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