Q13 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





f’(x) = na (cx + d)m (ax + b)n-1 + mc (ax + b)n (cx + d)m-1


∴ f’(x) = (ax + b)n-1 (cx + d)m-1 [na (cx + d) + mc (ax + b)]


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