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Use the graph of f and g. P(x) = f(x)g(x) %3D f(x) 9(x) = g(x) %3D 107

Use the graph of f and g. P(x) = f(x)g(x) %3D f(x) 9(x) = g(x) %3D 107

College Algebra
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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Use the graph of f and g. P(x) = f(x)g(x) f(x) q(x) = g(x) %3D 10 8- 4- 2. 4. 10 -2 (a) Find p'(5). p'(5) = (b) Find q'(8). q'(8) = 2 Type here to search
Transcribed Image Text:Use the graph of f and g. P(x) = f(x)g(x) f(x) q(x) = g(x) %3D 10 8- 4- 2. 4. 10 -2 (a) Find p'(5). p'(5) = (b) Find q'(8). q'(8) = 2 Type here to search
Expert Solution
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.

p\left(x\right)=f\left(x\right)g\left(x\right)

take derivative

p'\left(x\right)=\frac{d}{dx}\left(f\left(x\right)g\left(x\right)\right)

p'\left(x\right)=f\left(x\right)\cdot g'\left(x\right)+g\left(x\right)\cdot f'\left(x\right)

take x=5

p'\left(5\right)=f\left(5\right)\cdot g'\left(5\right)+g\left(5\right)\cdot f'\left(5\right)

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