10. Consider the function f(x) = x³ + 6x² - 36x + 4. Then 1. f decreases on (-6, 2) and increases on (-∞, -6) U (2,00) II. f has a local minimum at x = 2 III. f has local maximum at x = -6 A. I only C. I and III Sv B. I and II D. I, II, and III

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 15BEXP
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10. Consider the function f(x) = x³ + 6x² - 36x + 4. Then
I. f decreases on (-6, 2) and increases on (-∞, -6) U (2,00)
II. f has a local minimum at x = 2
III. f has local maximum at x = -6
A. I only
C. I and III
B. I and II
D. I, II, and III
03:
Transcribed Image Text:10. Consider the function f(x) = x³ + 6x² - 36x + 4. Then I. f decreases on (-6, 2) and increases on (-∞, -6) U (2,00) II. f has a local minimum at x = 2 III. f has local maximum at x = -6 A. I only C. I and III B. I and II D. I, II, and III 03:
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