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):
`(x+sec x)(x-tan x)`

Explanation

Let `y=(x+sec x)(x-tanx)`
`rArr (dy)/(dx)=(d)/(dx)[(x +sec x)(x-tanx)]`
`=(x+sec x)(d)/(dx)(x-tan x)`
`+(x-tan x)(d)/(dx)(x+sec x)`
`=(x+secx)(1-sec^(2)x)`
`+(x-tan x)(1+sec x tan x)`