Let f(x) and g(s) be two differentiable functions in R and f (2) = 8, g(2) =0, f(4) = 10, and g(4) = 8 Then prove that g'(x)=4f'(x) for at least one ze (2,4).

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 26E: Find derivatives of the functions defined as follows. y=4-5x+2
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Let f(x) and g(s) be two differentiable
functions in R and f (2) = 8, g(2) =0, f(4) =
10, and g(4) = 8 Then prove that g'(x)=4f'(x)
for at least one ze (2,4).
Transcribed Image Text:Let f(x) and g(s) be two differentiable functions in R and f (2) = 8, g(2) =0, f(4) = 10, and g(4) = 8 Then prove that g'(x)=4f'(x) for at least one ze (2,4).
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