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1. Consider the function f: RR given by f(x) = x¹ = 4x³+4x². (a) Using calculus, find all critical points (local max, min). (b) Determine which are local or global, and justify your answer.

1. Consider the function f: RR given by f(x) = x¹ = 4x³+4x². (a) Using calculus, find all critical points (local max, min). (b) Determine which are local or global, and justify your answer.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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1. Consider the function f: R→ R given by f(x) = a¹ - 4x³+4x². (a) Using calculus, find all critical points (local max, min). (b) Determine which are local or global, and justify your answer.
Transcribed Image Text:1. Consider the function f: R→ R given by f(x) = a¹ - 4x³+4x². (a) Using calculus, find all critical points (local max, min). (b) Determine which are local or global, and justify your answer.
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