# Partial Derivative – e to the power of a function – Exercise 3282

Exercise

Find the partial derivatives of the function

$$z(x,y)=e^{-\frac{x}{y}}+7$$

$$z'_x (x,y)=e^{-\frac{x}{y}}\cdot (-\frac{1}{y})$$
$$z'_y (x,y)=e^{-\frac{x}{y}}\cdot\frac{x}{y^2}$$