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Home > Science > Mathematics   »   Curve sketching: 2nd derivatives test

 
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Old Oct 1, 2009, 08:06 AM
akotoh
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Curve sketching: 2nd derivatives test

Gud day!
I just wanna 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!

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Old Oct 1, 2009, 08:14 AM   #2  
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Just evaluate the original equation for x = 1/2.

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Perito agrees: I'll agree with that.
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Old Oct 4, 2009, 03:17 AM   #3  
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I think thr is some error in ur ans.. for x=1/2, the only value for y is -13/12..
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Old Oct 4, 2009, 04:08 AM   #4  
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Quote:
Gud day!
I just wanna 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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