# Differentiate the following functions with respect to x:

Let, y =

We have to find dy/dx

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

u = ax + b and v = px2 + qx + r

y = u/v

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

By quotient rule, we have –

…equation 1

As, u = ax + b

…equation 2 { }

As, v = px2 + qx + r

, so we get –

…equation 3

from equation 1, we can find dy/dx

{using equation 2 and 3}

Hence,

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