Suppose f(x) ) = sinx, and let k be a real number. Let F(x) = f(xk) and G(x) = [ƒ(x)]k. Find expressions for (a) F'(x) and (b) G'(x). (a) F'(x) = (b) G'(x):

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...
Question
Suppose f(x) = sinx, and let k be a real number. Let F(x) = f(xk) and G(x) = [ƒ(x)]k.
Find expressions for (a) F'(x) and (b) G'(x).
(a) F'(x) =
(b) G'(x) =
Transcribed Image Text:Suppose f(x) = sinx, and let k be a real number. Let F(x) = f(xk) and G(x) = [ƒ(x)]k. Find expressions for (a) F'(x) and (b) G'(x). (a) F'(x) = (b) G'(x) =
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