Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question

Find the interval(s) where the function f(x) = x 3 + 3x 2 is increasing and decreasing.

(A) Increasing: (-∞, -2), (0, ∞); Decreasing: (-2,0) (B) Increasing: (-2, 0); Decreasing: (-∞, -2), (0, ∞) (C) Increasing: (–3,0), (0, ∞); Decreasing: (-∞, -3) (D) Increasing: (-∞, -3); Decreasing: (-3,0), (0, ∞)
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Transcribed Image Text:(A) Increasing: (-∞, -2), (0, ∞); Decreasing: (-2,0) (B) Increasing: (-2, 0); Decreasing: (-∞, -2), (0, ∞) (C) Increasing: (–3,0), (0, ∞); Decreasing: (-∞, -3) (D) Increasing: (-∞, -3); Decreasing: (-3,0), (0, ∞)
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Step 1: Define increasing and decreasing function
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Step 2: Find the derivative of the function
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Step 3: Solve for critical points
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