Question

Differentiate the following functions with respect to x:

(ax + b)/(cx + d)

Answer 1

Let, y = (ax + b)/(cx + d)

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 and v = cx + d

∴ 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 –