. Chain Rule Suppose that f(x) - * and g(x) - |x|. Then the compositions (f• g)(x) - |x| - and (g fXx) - |x| -x are both differentiable at x - 0 even though g itself is not differ- entiable at x - 0. Does this contradict the Chain Rule? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
icon
Related questions
Question
. Chain Rule Suppose that f(x) - * and g(x) - |x|. Then the
compositions
(f• g)(x) - |x| - and (g fXx) - |x| -x
are both differentiable at x - 0 even though g itself is not differ-
entiable at x - 0. Does this contradict the Chain Rule? Explain.
Transcribed Image Text:. Chain Rule Suppose that f(x) - * and g(x) - |x|. Then the compositions (f• g)(x) - |x| - and (g fXx) - |x| -x are both differentiable at x - 0 even though g itself is not differ- entiable at x - 0. Does this contradict the Chain Rule? Explain.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage