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Differentiate the following functions wi...

Differentiate the following functions with respect to `x` : `tan^(-1){sqrt((1+cosx)/(1-cosx))}` , `0< x < pi`

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y=`tan^(-1){sqrt((1+cosx)/(1-cosx))}`
y=`tan^(-1){sqrt((2cos^2(x/2))/(2sin^2(x/2)))}`
=`tan^(-1)(cot(x/2))`
=`tan^(-1)(tan(pi/2-x/2))`
=`pi/2-x/2`
`dy/dx=-1/2`
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