Z = x ^ 2 + y ^ 2, and x = 1 + Sint, y = cost, find DZ / dt

Z = x ^ 2 + y ^ 2, and x = 1 + Sint, y = cost, find DZ / dt

Using the method of partial derivation
dx/dt = cost
dy/dt = -sint
And DZ / dt = (DZ / DX) * (DX / DT) + (DZ / dy) * (dy / DT)
=2x(cost)-2y(sint)
=2(1+sint)cost-2costsint
=2