Find derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): `1/(a x^2+b x+c)`

Explanation

Let `1/(a x^2+b x+c)`

Thus by quotient rule

`f′(x)= ((ax^2+bx+c) d/(dx)(1)-d/(dx)(ax^2+bx+c))/(ax^2+bx+c)^2`

`((ax^2+bx+c)(0)-(2ax+b))/(ax^2+bx+c)^2`

`(-2ax+b)/(ax^2+bx+c)^2`