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): `(x)/(1+tanx)`

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


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