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Use the Quotient Rule to show that the Powers of x Rule applies to negative integer powers. That is, show that (d/dx)x"= nx' *when n= -k, k> 0, by finding the derivative of f(x) = 1/(x"). f'(x) =

Use the Quotient Rule to show that the Powers of x Rule applies to negative integer powers. That is, show that (d/dx)x"= nx' *when n= -k, k> 0, by finding the derivative of f(x) = 1/(x"). f'(x) =

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 Quotient Rule to show that the Powers of x Rule applies to negative integer powers. That is, show that (d/dx)x" = nx"-1 whenn = -k, k > 0, by finding the derivative of f(x) 1/(x*). F'(x) =
Transcribed Image Text:Use the Quotient Rule to show that the Powers of x Rule applies to negative integer powers. That is, show that (d/dx)x" = nx"-1 whenn = -k, k > 0, by finding the derivative of f(x) 1/(x*). F'(x) =
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