32. The first derivative of the function f is defined by f'(x) = (x+1)? cos(3*) for -2 <¥ < 2. On which of the following intervals is the graph of f concave down? (A) (-2,-1), (0.034, 1.111), and (1.688, 2) (B) (-2,0.411) and (1.411,1.876) (C) (-0.36,0.83) and (1.494, 2) (D) (0.411, 1.411) and (1.876, 2)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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32. The first derivative of the function f is defined by f'(x) = (x+1)² cos(3*) for -2 < < 2. On which
of the following intervals is the graph off concave down?
(A) (-2, –1), (0.034, 1.111), and (1.688, 2)
(B) (-2,0.411) and (1.411, 1.876)
(C) (-0.36,0.83) and (1.494, 2)
(D) (0.411, 1.411) and (1.876, 2)
Transcribed Image Text:32. The first derivative of the function f is defined by f'(x) = (x+1)² cos(3*) for -2 < < 2. On which of the following intervals is the graph off concave down? (A) (-2, –1), (0.034, 1.111), and (1.688, 2) (B) (-2,0.411) and (1.411, 1.876) (C) (-0.36,0.83) and (1.494, 2) (D) (0.411, 1.411) and (1.876, 2)
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