Find the derivatives of the following functions (for full marks you have to show at least one intermediate step of your calculations):
a. f(x) = In ( e²x³/√x + 3)
b. f(x) = (eˣ sec x / 1 + eˣ)
c. f(x) = In[ eˣ secx + sin(eˣ)]
d. f(x) = (1 + cosx )ˣᶜᵒˢˣ