Let, y = (ax + b)ⁿ(cx + d)^m

We have to find dy/dx

As we can observe that y is a product of two functions say u and v where,

u = (ax + b)ⁿ and v = (cx + d)^m

∴ y = uv

As we know that to find the derivative of product of two function we apply product rule of differentiation.

By product rule, we have –

…equation 1

As, u = (ax + b)ⁿ

As,

∴ …equation 2

As, v = (cx + d)^m

As,

…equation 3

∴ from equation 1, we can find dy/dx

∴

{using equation 2 & 3}

⇒

⇒

Hence,