Given that dy =0 dx when x=1 for the curve y=x³+ 3x2 – 9x +6 d?y Find dx- and hence find which of the following is true when x=1: d²y A <0 and x=1 is a maximum point dx2 d²y <0 and x=1 is a minimum point dx2 (B) d?y >0 and x=1 is a maximum point dx2 d²y >0 and x=1 is a minimum point dx2 D d²y E =0 and x=1 is a point of inflection

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Question
Given that
dy
=0
dx
when x=1 for the curve
y=x³+ 3x2 – 9x +6
d?y
Find
dx-
and hence find which of the following is true when x=1:
d²y
A
<0 and x=1 is a maximum point
dx2
d²y
(B
<0 and x=1 is a minimum point
dx2
d²y
>0 and x=1 is a maximum point
dx2
d²y
>0 and x=1 is a minimum point
dx2
D
E
d²y
=0 and x=1 is a point of inflection
dx2
Transcribed Image Text:Given that dy =0 dx when x=1 for the curve y=x³+ 3x2 – 9x +6 d?y Find dx- and hence find which of the following is true when x=1: d²y A <0 and x=1 is a maximum point dx2 d²y (B <0 and x=1 is a minimum point dx2 d²y >0 and x=1 is a maximum point dx2 d²y >0 and x=1 is a minimum point dx2 D E d²y =0 and x=1 is a point of inflection dx2
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