Answered: find the following for the given…

find the following for the given function x4- 8x3 - 32x2 A. the derivative and its sign chart B. the intervals where f(x) is increasing/decreasing and its local maximum and minimums.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 21T

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Question

find the following for the given function x⁴- 8x³ - 32x²

A. the derivative and its sign chart

B. the intervals where f(x) is increasing/decreasing and its local maximum and minimums.

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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