Given that dy dx when x-2 for the curve y=x3- 2x2 – 4x d2y Find and hence find which of the following is true when x-2: dr2
Given that dy dx when x-2 for the curve y=x3- 2x2 – 4x d2y Find and hence find which of the following is true when x-2: dr2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Given that
dy
dx
when x=2 for the curve
y=x³- 2x2- 4x
d²y
Find
and hence find which of the following is true when x-2:
dx2
d²y
A
=0 and x-2 is a point of inflection
dx2
d²y
>0 and x-2 is a minimum point
dx2
d²y
<0 and x=2 is a minimum point
C
dx2
d²y
->0 and x=2 is a maximum point
dx2
d²y
<0 and x=2 is a maximum point
dx2
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