For each given function,(i) find the intervals on which f (x) is increasing or decreasing,(ii) find the local maximum and minimum values of f(x),(iii) find the intervals of concavity and the inflection points.(a) f(x) = xª – 2x² + 3(b) f(x) = ln(x² – 4x + 3)(c) f(x) = x²e*(d) f(x) = x ln(x)

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Answered: (a) f(x) = xª – 2x² + 3

Math

Calculus

(a) f(x) = xª – 2x² + 3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Question

For each given function,
(i) find the intervals on which f (x) is increasing or decreasing,
(ii) find the local maximum and minimum values of f(x),
(iii) find the intervals of concavity and the inflection points.
(a) f(x) = xª – 2x² + 3
(b) f(x) = ln(x² – 4x + 3)
(c) f(x) = x²e*
(d) f(x) = x ln(x)

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