# Partial Derivative – A function to the power of three – Exercise 3224

Exercise

Find the partial derivatives of the function

$$z(x,y)={(5x^2y-y^3+7)}^3$$

$$z'_x (x,y)=3{(5x^2y-y^3+7)}^2\cdot 10xy$$
$$z'_y (x,y)=3{(5x^2y-y^3+7)}^2\cdot (5x^2-3y^2)$$