Question

Differentiate the function with respect to x:

(ax² + bx + c)/(px² + qx + r)

Answer 1

Let us consider

y =

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = ax² + bx + c and v = px² + qx + r

∴ y = u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get