If f (x) = exp(x), g(x) = 4x, and h(x) = sin x, state the following composite functions and derive an expression for the derivative with respect to x in each case.

a. (f ◦ g)(x)

b. (g ◦ h)(x)

c. (f ◦ g ◦ h)(x)

d. (g ◦ h ◦ f )(x)