# How to find expressions for f_{x x} and f_{y y}

How to find expressions for ${f}_{xx}$ and ${f}_{yy}$ for the multivariable function $f\left(x,y\right)=\mathrm{ln}\left({x}^{2}y\right)+{y}^{3}{x}^{2}$?
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Lindsey Gamble
$f\left(x,y\right)=\mathrm{ln}\left({x}^{2}y\right)+{y}^{3}{x}^{2}$
For finding ${f}_{x}$, we have to differentiate $f\left(x,y\right)$ with respect to x as follows:
${f}_{x}=\frac{2xy}{{x}^{2}y}+{y}^{3}$
Now, for finding ${f}_{xx}$, differentiate ${f}_{x}$ with respect to $x$.
Try in the same way for ${f}_{yy}$.
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raefx88y
Thanks, it's helpful because it shows the way. Anyway, there is ${a}^{2}$ after x at last.