Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Let f(x) = 5x² cos(2x). f'(x) = -10x²(2x) + 10x cos(2x) f'(5) = 0 f"(x) = -10x² sin (2x) + 10x cos(2x) f"(5) = 0
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Transcribed Image Text:Let f(x) = 5x² cos(2x). f'(x) = -10x²(2x) + 10x cos(2x) f'(5) = 0 f"(x) = -10x² sin (2x) + 10x cos(2x) f"(5) = 0
A table of values for f. g. f', and g' is given below. (A) If h(x) = f(g(x)), then h'(3) = (B) If H(x) = g(f(x)), then H'(2) = x f(x) g(x) f'(x) g'(x) 1 2 3 3 1 2 2 2 2 2 3 1 1 2 1
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Transcribed Image Text:A table of values for f. g. f', and g' is given below. (A) If h(x) = f(g(x)), then h'(3) = (B) If H(x) = g(f(x)), then H'(2) = x f(x) g(x) f'(x) g'(x) 1 2 3 3 1 2 2 2 2 2 3 1 1 2 1
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Step 1: Determining the first order derivative

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