Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):
Let f(x) =
By product rule
=(x2 + 1)(-sinx) + cosx × 2x
= -x2sinx - sinx+2x cosx
∴ f’(x) = - x2 sin x – sin x + 2x cos x