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):
`(sec x-1)/(sec x+1)`

Explanation

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