# Partial Derivative – A multiplication of x and a sin function – Exercise 3219

Exercise

Find the partial derivatives of the function

$$z(x,y)=x\sin (2x+3y)$$

$$z'_x (x,y)=\sin(2x+3y)+2x\cos (2x+3y)$$
$$z'_y (x,y)=3x\cos(2x+3y)$$