Consider the following. y = x4 -8x³ + 16x² Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) x 0 relative maxima relative minima relative minima points of inflection points of inflection >>=((2,16) (x, y) = (x, y) = -((0,0) (x, y) = (x, y) x (smaller x-value) (4,0) x ! 6-2√3 64 3 9 6+2√3 64 I 3 (larger x-value) x(smaller x-value) x (larger x-value)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Consider the following.
y = x4 -8x³ + 16x²
Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.)
x 0
relative maxima
relative minima
relative minima
points of inflection
points of inflection
>>=((2,16)
(x, y) =
-((0,0)
(x, y) =
(x, y) =
(x, y) =
x (smaller x-value)
(4,0) x (larger x-value)
6-2√3 64
3
9
6+2√3 64
I 3
x (smaller x-value)
x (larger x-value)
Transcribed Image Text:Consider the following. y = x4 -8x³ + 16x² Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) x 0 relative maxima relative minima relative minima points of inflection points of inflection >>=((2,16) (x, y) = -((0,0) (x, y) = (x, y) = (x, y) = x (smaller x-value) (4,0) x (larger x-value) 6-2√3 64 3 9 6+2√3 64 I 3 x (smaller x-value) x (larger x-value)
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