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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.

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.

Calculus: Early Transcendentals
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) = 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
Transcribed Image Text: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
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