Suppose that we assume that (eˣ), (sin x), and (cos x) are continuously differentiable with derivatives (eˣ), (cos x), and (-sin x), respectively. Prove that (eˣsin x - eˣcos x) is equal to:
a) (eˣ)
b) (e⁻ˣ)
c) (e²ˣ)
d) (e⁻²ˣ)