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):
`(sinx+cosx)/(sin x-cos x)`

Explanation

Let `y=(sin x+cos x)/(sin xj-cos x)`
`rArr(dy)/(dx)=(d)/(dx)((sinx+cosx)/(sin x-cos x))`
`(sin x-cos x)(d)/(dx)(sin x+cos s)`
`=(-(sin x+cos x)(d)/(dx)(sin x-cos x))/((sin xj-cos x)^(2))`
`(sin x-cos x)(cos x-sinx)`
`(2sin x cos x-sin^(2)x-cos^(2)x)`
`=(-(sin^(2)x+cos^(2)x+2sin x cos x))/((sin x-cos x)^(2))`
`(-1-1)/((sin x-cos x)^(2))=(-2)/((xin x-cos x)^(2))`