16. Let f(x) = 5x¹ and g(x) = e²z+x. If h is the function defined by h(x) = f(g(x)), which of gives a correct expression for h'(x)? (A) 20(g(x))³ = 20 (e²x + x)³ (B) 20(g(x))³ = 20 (2e²a + 1)³ (C) 20(g(x))³ g'(x) = 20 (e²z+x)³ (2e² + 1) (D) 5(g(x)) = 5(2e²z + 1)^
16. Let f(x) = 5x¹ and g(x) = e²z+x. If h is the function defined by h(x) = f(g(x)), which of gives a correct expression for h'(x)? (A) 20(g(x))³ = 20 (e²x + x)³ (B) 20(g(x))³ = 20 (2e²a + 1)³ (C) 20(g(x))³ g'(x) = 20 (e²z+x)³ (2e² + 1) (D) 5(g(x)) = 5(2e²z + 1)^
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
16
Transcribed Image Text:16. Let f(x) = 5x4 and g(x) = e2 + æ. 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(e2* + a)³
(B) 20(g'(x))³ = 20(2e2x + 1)3
(C) 20 (g(x))³ . g'(x) = 20(e2z + x)³ . (2e2 + 1)
(D) 5(g'(x))³ = 5(2e2* + 1) 1
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