ute the derivative of the given function in two different ways. h(s)=(−9s+9)(−2s+4)h(s)=(−9s+9)(−2s+4) a) Use the Product Rule, [fg]′=f⋅g′+f′⋅g[fg]′=f⋅g′+f′⋅g. (Fill in each blank, then simplify.) h′(s)=(h′(s)=(__ )⋅(__)⋅(__)+(___)+(___ )⋅(__)⋅(___)= __. b) Use algebra first to simplify hh, then differentiate without the Product Rule. h′(s)= ___
ute the derivative of the given function in two different ways. h(s)=(−9s+9)(−2s+4)h(s)=(−9s+9)(−2s+4) a) Use the Product Rule, [fg]′=f⋅g′+f′⋅g[fg]′=f⋅g′+f′⋅g. (Fill in each blank, then simplify.) h′(s)=(h′(s)=(__ )⋅(__)⋅(__)+(___)+(___ )⋅(__)⋅(___)= __. b) Use algebra first to simplify hh, then differentiate without the Product Rule. h′(s)= ___
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Question
Compute the derivative of the given function in two different ways.
h(s)=(−9s+9)(−2s+4)h(s)=(−9s+9)(−2s+4)
a) Use the Product Rule, [fg]′=f⋅g′+f′⋅g[fg]′=f⋅g′+f′⋅g. (Fill in each blank, then simplify.)
h′(s)=(h′(s)=(__ )⋅(__)⋅(__)+(___)+(___ )⋅(__)⋅(___)= __.
b) Use algebra first to simplify hh, then differentiate without the Product Rule.
h′(s)= ___
= .
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