Partial Derivative – A sum of simple functions – Exercise 3212

Exercise

Find the partial derivatives of the function

$$z(x,y)=x^4+y^4-3x^2y^5+7$$

$$z'_x (x,y)=4x^3+y^4-6x y^5$$
$$z'_y (x,y)=x^4+4y^3-15x^2 y^4$$