Answered: x^1/3(x+3)^2/3 find critical points,…

x^1/3(x+3)^2/3 find critical points, increasing and decreasing, inflection points, local minimum and local maximum points, concave up and concave down

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.CT: Chapter Test

Problem 3CT: Find f(1) and f(2). f(x)=xx1

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Question

x^1/3(x+3)^2/3 find critical points, increasing and decreasing, inflection points, local minimum and local maximum points, concave up and concave down

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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