Question

Pls Check My work

Find the partial derivative
w= (xyz)(e^xyz)

My answer :
dw/dx = yz [ (x) ( e^xyz) (yz) + e^xyz]

is that right for the partial with respect to x ?

Answer 1

\[
w=xyze^{xyz}\\
\frac{\partial w}{\partial x}=yze^{xyz}+xyz(e^{xyz})yz\\
=yz(xyze^{xyz}+e^{xyz})
\]
That looks right to me.

Answer 2

thanks! :)