Given the binary function z = e ^ X-Y, x = Sint, y = cost, then DZ / DT is

Given the binary function z = e ^ X-Y, x = Sint, y = cost, then DZ / DT is

We can substitute the expression of X, y with respect to t into Z, that is, z = e ^ (Sint) - cost to obtain DZ / dt = cost * e ^ (Sint) + Sint