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

Explanation

Let `y=(1)/(ax^(2)+bx+c)`
`(dy)/(dx)=(d)/(dx)((1)/(ax^(2)+bx+c))`
`=((ax^(2)+bx+c)(d)/(dx)(1)-1(d)/(dx)(ax^(2)+bx+c))/((ax^(2)+bx+c)^(2))`
`=(0-(2ax+b))/((ax^(2)+bx+c)^(2))=-(2ax+b)/((ax^(2)+bx+c)^(2))`