Find the r-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. 9(x)-3-9x 9 g has a relative maimum at the critical point x1 (smaller x-value) g hasarelave minimum v at the critical point x -1 (larger value)

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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Find the X coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, relative minimum, or neither by first applying the second derivative test, and, if the test fails, by some other method. g(x)=3x^3-9x+9 (a) g has a relative maximum at the critical point X=_____(smaller x value) (b) g has a relative minimum at the critical point X=_____(larger x value)
Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method.
g(x) - 3x - 9x +9
g has a relative maximum vv at the critical point x=1
(smaller x-value)
g has a relative minimum vv at the critical point x =-1
(larger x-value)
Need Help? Rasd Mastar
Transcribed Image Text:Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. g(x) - 3x - 9x +9 g has a relative maximum vv at the critical point x=1 (smaller x-value) g has a relative minimum vv at the critical point x =-1 (larger x-value) Need Help? Rasd Mastar
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