Z = e (x-2y) x = Sint y is equal to the square of t to find DZ / DT

Z = e (x-2y) x = Sint y is equal to the square of t to find DZ / DT

z=e^(x-2y)
dz=e^(x-2y)(dx-2dy) (1)
x=sint
dx=costdt (2)
y=t^2
dy=2tdt (3)
Substituting (2), (3) into (1)
We obtain DZ = e ^ (x-2y) (cost-4t) DT