Givenwhat is the outside functionf(g(x)) = cos x²and the inside function?g(x)so that the Chain Rule can be applied todifferentiateReminder:f(x)f(g(x))2cos x² = COSf (x)s(x)f(x) = x², g(x) = cos xAll of these will work= cos x, g(x)=x²f(x) = cos x², g(x) = xf(x) = (cos x)², g(x) = cos x

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

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

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

Section4.4: Derivatives Of Exponential Functions

Problem 19E

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Question

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

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