For the pair of functions, find the derivative of the composite function f(t(x) in terms of one input variable. f(t) = 5ln(t); t(x) = 3x3 − 9x2 + 5x

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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For the pair of functions, find the derivative of the composite function f(t(x) in terms of one input variable.

f(t) = 5ln(t); t(x) = 3x3 − 9x2 + 5x
 
 
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