Find the derivative of the following functions (it is to be understand – InterviewSolution

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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): `(sec x-1)/(sec x+1)`
Answer» 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))`

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