f(x) = x^3 -1000x +2022 How many local minima does this function have? are inflection points of this function also critical points?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.1: Concept Of A Function
Problem 99PS
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f(x) = x^3 -1000x +2022

How many local minima does this function have?
are inflection points of this function also critical points?

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