5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c) f(x) = (x4 + 5)³ d) f(x) = √√7x-ex e) f(x) = ecosx

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...
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g(x) = 3 sin x - cos x
5. Use the chain rule to compute the derivatives.
a)
f(x) = sin²x = (sin x)²
b)
f(x) = sin(x²)
c)
f(x) = (x4 + 5)³
d)
f(x) = √√7x-ex
e)
f(x) = ecosx
3 sin x
d
7
* COS X
d
dr
Transcribed Image Text:g(x) = 3 sin x - cos x 5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c) f(x) = (x4 + 5)³ d) f(x) = √√7x-ex e) f(x) = ecosx 3 sin x d 7 * COS X d dr
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