Answer to Question #214925 in Calculus for vvbbbb

Question

Find the total differential of z=xsiny-ysinx

Answer 1

$$\dfrac{\partial z}{\partial x}=\sin y-y\cos x$$

$$\dfrac{\partial z}{\partial y}=x\cos y-\sin x$$

$$dz=(\sin y-y\cos x)dx+(x\cos y-\sin x)dy$$