Q. 253.7( 3 Votes )

Differentiate the following functions with respect to x:

(ax + b)/(cx + d)

Answer :

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 –

…equation 1

As, u = ax + b

…equation 2 { }

As, v =


…equation 3

from equation 1, we can find dy/dx

{using equation 2 & 3}


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