Differentiate the following functions with respect to `x` `(secx+tanx)/(secx-tanx)`

Explanation

Let,`y=(secx+tanx)/(secx-tanx)​=(1+sinx)/(1-sinx)​`

`dy/dx​=[(1−sinx)(cosx)−(1+sinx)(−cosx)​]/((1−sinx)^2)`

`dy/dx=[cosx−cosxsinx+cosx+cosxsinx​]/[(1−sinx)^2]`

`dy/dx=[2cosx​]/[(1−sinx)^2]`