Hi everyone

Need help with this question,lifesaver guaranteed.

Find dz/dx & dz/dy for

4ln(4xyz)+sin(xz2)=0

This is the working but i'm not sure if it is corect,need help.

$\displaystyle F_x=4*\frac {4yz}{4xyz}+z^2cosxz^2=\frac{4}{x}+z^2cosxz^2$

$\displaystyle F_z=4*\frac{4xy}{4xyz}+2zxcosxz^2=\frac{4}{z}+2zxc osxz^2$

$\displaystyle F_y=4*4xz$

Thank you for all your help & support.