# Find the second order partial derivatives of the function.

• September 24th 2009, 12:32 PM
jebckr
Find the second order partial derivatives of the function.
f(x,y)=ln(1+x^2y^2)

I got 1/2y^2x for fxx, but think I did something wrong so I stopped. Please find fxx, fyy, fxy. Thanks.
• September 25th 2009, 12:22 AM
Opalg
Quote:

Originally Posted by jebckr
f(x,y)=ln(1+x^2y^2)

I got 1/2y^2x for fxx, but think I did something wrong so I stopped. Please find fxx, fyy, fxy. Thanks.

Just to get you started, $f_x(x,y) = \frac{2xy^2}{1+x^2y^2}$. To find $f_{xx}$, use the quotient rule to differentiate $f_x$.