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Curve sketching: 2nd derivatives test

Asked Oct 1, 2009, 08:06 AM — 3 Answers
Gud day!
I just want to know what is the correct answer in this problem:

Equation:
Y = 1/3 x^3 - 1/2 x^2 - 2x
The point of inflection that I got is (1/2 , -3/4) but according to the book its (1/2, -13/12). How do they get that?

Thanks!

3 Answers
ArcSine's Avatar
ArcSine Posts: 952, Reputation: 518
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#2

Oct 1, 2009, 08:14 AM
Just evaluate the original equation for x = 1/2.
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radiation's Avatar
radiation Posts: 21, Reputation: 10
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#3

Oct 4, 2009, 03:17 AM
I think thr is some error in your ans.. For x=1/2, the only value for why is -13/12..
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galactus's Avatar
galactus Posts: 2,272, Reputation: 1436
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#4

Oct 4, 2009, 04:08 AM
Quote:
Gud day!
I just want to know what is the correct answer in this problem:

Equation:

The point of inflection that I got is (1/2 , -3/4) but according to the book its (1/2, -13/12). How do they get that?

Thanks!
They found the second derivative, set to 0 and solved for x.







Plug back into original equation:

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