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Differentiate the following functions wi...

Differentiate the following functions with respect to `x` : `tan^(-1)(secx+tanx),-pi/2ltxltpi /2`

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y=`tan^(-1)(secx+tanx)`
=`tan^(-1)((1+sinx)/cosx)`
=`tan^(-1){(cos (x/2) + sin (x/2))/(cos (x/2) – sin (x/2))}`
=`tan^(-1 ){(1+ tan x/2)/(1 – tan x/2)}`
=`tan^(-1) tan (π/4 + x/2)`
=`pi/4+x/2`
`dy/dx=1/2`
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