6. Let f(x) = -5x¹ and g(x) = 2x + x. If h is the function defined by h(x) = f(g(x)), which of the following gives a correct expression for h'(x)? (A) 20(g(x))³ = 20 (e²x + x)³ x-Sy 20(g(x))³ = 20 (2e²x + 1)³. (B) (C) (D) 5(g(x)) = 5(2e²x + 1)² 20(g(x))³ g(x) = 20 (e² + x)³ (2e²ª + 1) +5x4 e2(5.4) 4 10x² +5+
6. Let f(x) = -5x¹ and g(x) = 2x + x. If h is the function defined by h(x) = f(g(x)), which of the following gives a correct expression for h'(x)? (A) 20(g(x))³ = 20 (e²x + x)³ x-Sy 20(g(x))³ = 20 (2e²x + 1)³. (B) (C) (D) 5(g(x)) = 5(2e²x + 1)² 20(g(x))³ g(x) = 20 (e² + x)³ (2e²ª + 1) +5x4 e2(5.4) 4 10x² +5+
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...
Related questions
Question
![16.
Let f(x)
=
=-5x² and g(x) = ²x + x. If h is the function defined by h(x) = f(g(x)), which of the following
gives a correct expression for h'(x)?
(A) 20(g(x))³ = 20 (e²x + x)³
x-Sy
(B)
20(g(x))³ = 20 (2e²x + 1)³
(C)
20(g(x))³ g(x) = 20 (e² + x)³ (2e²x + 1)
(D) 5(g(x)) = 5(2e²x + 1)^
2 (54) +5x4
10x
5x
2x+x
e
x = e
lyty](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29d9ecf2-8ea2-4c7b-b874-691941710284%2F53288fa9-53db-4e6d-8ed9-035c6ebce286%2Fctsqxio_processed.jpeg&w=3840&q=75)
Transcribed Image Text:16.
Let f(x)
=
=-5x² and g(x) = ²x + x. If h is the function defined by h(x) = f(g(x)), which of the following
gives a correct expression for h'(x)?
(A) 20(g(x))³ = 20 (e²x + x)³
x-Sy
(B)
20(g(x))³ = 20 (2e²x + 1)³
(C)
20(g(x))³ g(x) = 20 (e² + x)³ (2e²x + 1)
(D) 5(g(x)) = 5(2e²x + 1)^
2 (54) +5x4
10x
5x
2x+x
e
x = e
lyty
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