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
Let f(x) = (ax + b)ⁿ

By first principle

=

=

=

∴ f’(x) = na (ax + b)^n-1

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

Philoid · Accepted Answer

Let f(x) = (ax + b)ⁿ

By first principle

=

∴ f’(x) = na (ax + b)^n-1

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

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