E. f'lxl= 4X(x-1)-2x²•2X(xー14x%3D(火+げ(メーパ) Since f'(x) >0 when x < 0 (x * -1) and f'(x) < 0 when x > 0 (x 1), f is increasing on the intervals(-, -1) andand decreasing on the intervals (0, 1) and(F) The only critical number is x = 0. Since f' changes from positive to negative atis a local maximum by the First Derivative Test.

Given that: f'(x)=-4x(x+1)2(x-1)2

Answered: Since f'(x) > 0 when x << 0 (x * -1)…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Since f'(x) > 0 when x << 0 (x * -1) and f'(x) < 0 when x > 0 (x 1), f is increasing on the intervals (--, -1) and and decreasing on the interväls (0, 1) and (F) The only critical number is x = 0. Since f' changes from positive to negative at is a local maximum by the First Derivative Test.