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): `(p x + q)(r/x+s)`

Explanation

Let `f(x)=(px+q)(x/r+s)`

Thus using product rule

`f′(x)=(px+q)(r/x+s)′ +(r/x +s)(px+q)′`

`(px+q)(rx^(−1) +s)′+( r/x+s)(P) `

`(px+q)(−rx^(−2))+(r/x +s)(p)`

`(px+q)(-rx^(-2))+(xr+s)(p)`

`(px+q)(-r/x^(2) )+( r/x+s)p`

`-(Pr)/x-(qr)/x^2+(pr)/x+ps=ps-(qr)/x^2`