The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the second derivative test to classify them. f(x) has a local at the smaller critical point c₁ since ‒‒‒‒‒‒‒‒ ‒‒‒‒‒ f(x) has a local ✓at the larger critical point c2 ‒‒‒‒‒‒ since

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the
second derivative test to classify them.
f(x) has a local
at the smaller critical point c₁
since
V
f(x) has a local
✓at the larger critical point c2
since
Transcribed Image Text:The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the second derivative test to classify them. f(x) has a local at the smaller critical point c₁ since V f(x) has a local ✓at the larger critical point c2 since
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