2. Suppose ƒ'(x) = (x − 1)¹⁰ (x + 2)⁹999 (x + 3)(x + 5)³(x − 2)¹2000. Find all values of x for which f(x) attains a local maximum or minimum. Hint: you can reason about where f'(x) is positive or negative without actually computing the full value of f'(x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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2. Suppose ƒ'(x) = (x − 1)¹⁰(x + 2)9⁹99 (x+3)(x + 5)³(x − 2)¹2000. Find all
values of x for which f(x) attains a local maximum or minimum. Hint:
you can reason about where f'(x) is positive or negative without actually
computing the full value of f'(x).
Transcribed Image Text:- 2. Suppose ƒ'(x) = (x − 1)¹⁰(x + 2)9⁹99 (x+3)(x + 5)³(x − 2)¹2000. Find all values of x for which f(x) attains a local maximum or minimum. Hint: you can reason about where f'(x) is positive or negative without actually computing the full value of f'(x).
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