Why might one prefer to use the logarithmic differentiation for finding derivatives of functions that have another function as an exponent?   The question basically means why we should use logarithmic differentiation when finding derivative of functions in the form of f(x)g(x

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?
Question

Why might one prefer to use the logarithmic differentiation for finding derivatives of functions that have another function as an exponent?

 

The question basically means why we should use logarithmic differentiation when finding derivative of functions in the form of f(x)g(x).

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