The function (x) = ex satisfies (x) = (x). Show that if g is another function satisfying

The function ƒ(x) = ex satisfies ƒ(x) = ƒ(x). Show that if g is another function satisfying g'(x) = g(x), then g(x) = Ce^x for some constant C. Compute the derivative of g(x)e^−x.