Answered: If g'(x) = - 3x(x + 2) (x - 3), then…

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If g'(x) = - 3x(x + 2) (x - 3), then the graph of g (x) has a relative maximum at what value (s) of x?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 11E

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Question

If g'(x) = - 3x(x + 2) (x - 3), then the graph of g (x) has a relative maximum at what value (s) of x?

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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