Point of Inflection Show that the cubic polynomial p(x) = ax³ + bx? + cx + d has exactly one point of inflection (xo, Yo), where 2b3 bc + d. За and yo %3D - За 27a? Use these formulas to find the point of inflection of p(x) = x³ – 3x² + 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 84E
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Point of Inflection Show that the cubic polynomial
p(x) = ax³ + bx? + cx + d has exactly one point of inflection
(xo, Yo), where
2b3
bc
+ d.
За
and yo
%3D
-
За
27a?
Use these formulas to find the point of inflection of
p(x) = x³ – 3x² + 2.
Transcribed Image Text:Point of Inflection Show that the cubic polynomial p(x) = ax³ + bx? + cx + d has exactly one point of inflection (xo, Yo), where 2b3 bc + d. За and yo %3D - За 27a? Use these formulas to find the point of inflection of p(x) = x³ – 3x² + 2.
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