The function f(x)=8x+5x^−1 has one local minimum and one local maximum. This function has a local maximum at x= _____ with value _______ and a local minimum at x= _______ with value ________

The function f(x)=8x+5x^−1 has one local minimum and one local maximum. This function has a local maximum at x= _ with value _ and a local minimum at x= _ with value ____

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 49E

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Question

The function f(x)=8x+5x^−1 has one local minimum and one local maximum.
This function has a local maximum at x= _____ with value _______

and a local minimum at x= _______ with value ________

Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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