Find the Total Differential of the Function $z=x^{2} y+\sin y$
A)

Multiple Choice

Find the total differential of the function $z=x^{2} y+\sin y$ .

A) $d z=(2 x y \cos y) d x+\left(x^{2}+\cos y\right) d y$
B) $d z=2 x y d x+\left(x^{2}+\cos y\right) d y$
C) $d z=2 x y d x+(2 x+\cos y) d y$
D) $d z=(2 x y+\cos y) d x+x^{2} d y$