2)

b)

Apply formula a^maⁿ = a^m+n

Apply formula  : (d/dx) (xⁿ) = nxⁿ⁺¹

3(5/2)x^(-3/2)+1 - (3/2)(-3/2)x^(-3/2)+1

(15/2)x^(-3/2) + (9/4)x^(-1/2)

The solution is (15/2)x^(-3/2) + (9/4)x^(-1/2)