1.

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

Answer» Let `y=(pix+q)((r)/(x)+s)`
`=pr+psx+(qr)/(x)+qs`
`rArr(dy)/(dx)=(d)/(dx)(pr+psx+(qr)/(x)+qs)`
`=(d)/(dx)pr+ps(d)/(dx)x+qr(d)/(dx)x^(-1)+(d)/(dx)qs`
`=0+ps(1)+qr(-1x^(-2))+0`
`=ps-(qr)/(x^(2))`


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