Question

Find differentiation of √(ax+b)^m.​

Answer 1

What is the derivative of (ax+b) ^3?

Well, the question isn't completely stated. I'll assume you want the derivative with respect to x

y = (ax+b)^3

Let u = ax+b

We can now rewrite the function as;

y = u^3

:. dy/dx = dy/du × du/dx

dy/du = 3u^2

du/dx = a

=> dy/dx = 3u^2 (a)

=3au^2

But u = ax+b

:. dy/dx = 3a (ax+b)^2.

QED.