Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r - Maths - Limits and Derivatives

Question

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): (ax + b)
n (cx + d) m

Gopal Mohanty · Accepted Answer

Let

By Leibnitz product rule,

Therefore, from (1), (2), and (3), we obtain

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): (ax + b) n (cx + d) m

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): (ax + b)ⁿ (cx + d)^m