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Given f(g(x)) = cos²x what is the outside function f (x) and the inside function ? g(x) so that the Chain Rule can be applied to differentiate f(g(x)) f (x) = cos x, g(x) = x² All of these will work f(x) = (cos x)², g(x) = x f(x)=x², g(x) = cos x f(x) = (cos x)², g(x) = cos x

Given f(g(x)) = cos²x what is the outside function f (x) and the inside function ? g(x) so that the Chain Rule can be applied to differentiate f(g(x)) f (x) = cos x, g(x) = x² All of these will work f(x) = (cos x)², g(x) = x f(x)=x², g(x) = cos x f(x) = (cos x)², g(x) = cos x

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Given f(g(x)) = cos²x what is the outside function and the inside function ? f (x) 9 (x) so that the Chain Rule can be applied to differentiate f(x) f(g(x)) = cos x, g(x) = x² All of these will work f(x) = (cos x)², g(x) = = x f(x) = x², g(x) = cos x f (x) = (cos x)², g(x) = cos x
Transcribed Image Text:Given f(g(x)) = cos²x what is the outside function and the inside function ? f (x) 9 (x) so that the Chain Rule can be applied to differentiate f(x) f(g(x)) = cos x, g(x) = x² All of these will work f(x) = (cos x)², g(x) = = x f(x) = x², g(x) = cos x f (x) = (cos x)², g(x) = cos x
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