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July 2nd, 2008, 06:38 PM   #1
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using partial derivatives

simple but i think its complicated:

f(x,y)=sin(xy^2)/x

i used quotient rule for first partial of Fx and Fy, but its seems very complicated to do it a second time for Fxy
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July 2nd, 2008, 08:27 PM   #2
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Re: using partial derivatives

Quote:
Originally Posted by tbdevilrays
simple but i think its complicated:

f(x,y)=sin(xy^2)/x

i used quotient rule for first partial of Fx and Fy, but its seems very complicated to do it a second time for Fxy
So just to put in latext

So then



and then

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July 2nd, 2008, 09:17 PM   #3
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Re: using partial derivatives

[quote="Mathstud28"][quote="tbdevilrays"]simple but i think its complicated:

f(x,y)=sin(xy^2)/x





ok, i got there, then how would you take the second partial derivative of y?
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July 9th, 2008, 04:34 PM   #4
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Re: using partial derivatives

Quote:
Originally Posted by tbdevilrays
Quote:
Originally Posted by Mathstud28
Quote:
Originally Posted by tbdevilrays
simple but i think its complicated:

f(x,y)=sin(xy^2)/x





ok, i got there, then how would you take the second partial derivative of y?
Just take the derivative in respect to y holding x as a constant
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July 13th, 2008, 08:34 AM   #5
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so
Differentiating with respect to y the expression found for gives the same result.
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