$\large\frac{d}{dx}$$ [(x+1)(x^2+1)(x^4+1)(x^8+1)]=(15x^p-16x^q+1)(x-1)^{-2}=>(p,q)=$

Question

\[(a)\;(12,11)\quad (b)\;(15,14) \quad (c)\;(16,14) \quad (d)\;(16,15) \]