Find dy, dx if f(x) = (x + 1)2x.

Options:
A. 2xln(x + 1)

B. 2 times the natural log of the quantity x plus 1 plus 2 times x divided by the quantity x plus 1

C. 2x(x + 1)(2x - 1)

D. the product of the quantity 2 times the natural log of the quantity x plus 1 plus 2 times x divided by the quantity x plus 1, and the quantity x plus 1 raised to the 2x power