# Partial Derivative – A sum of a quotient and e to the power of a function – Exercise 3216

Exercise

Find the partial derivatives of the function

$$z(x,y)=\frac{x}{y^3}+e^{4xy}$$

$$z'_x (x,y)=\frac{1}{y^3}+4ye^{4xy}$$
$$z'_y (x,y)=-\frac{3x}{y^4}+4xe^{4xy}$$