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):

Question

Philoid · Accepted Answer

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)]