Q23 of 92 Page 317

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


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