Need help with the steps for these calculus steps for each one 2. Given: f(x) = 4x + 6x² – 72x-(a) Verify f(x) has critical points at x = 2 and x =-3.%3D(b) Use the first derivative to verify that f(x) has a relative maximum at x = -3.(c) Use the second derivative to verify that f(x) has a relative minimum at r = 2.%3D

Answered: 2. Given: f(x) = 4x³ + 6x² – 72x – 9…

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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2. Given: f(x) = 4x³ + 6x² – 72x – 9 (a) Verify f(x) has critical points at x = 2 and x = -3. (b) Use the first derivative to verify that f(x) has a relative maximum at x = -3. (c) Use the second derivative to verify that f(x) has a relative minimum at r = 2.