Let f(x) = x^4 − 4x^3 − 20 (a) Find the zeros of f"(x). Then decide which of these are inflection points. Hint: consider the sign of f" on either side of each zero of f"  (b) Sketch the graph y=x^4-4x^3-20 labeling the global maximum and global minimum on {-2,4}, as well as any inflection points.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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 Let f(x) = x^4 − 4x^3 − 20

(a) Find the zeros of f"(x). Then decide which of these are inflection points. Hint: consider the sign of f" on either side of each zero of f"

 (b) Sketch the graph y=x^4-4x^3-20 labeling the global maximum and global minimum on {-2,4}, as well as any inflection points. 

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