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Differentiate the following function ...

Differentiate the following function with respect to `x :` `cos^-1sqrt((1+x)/2) `,`-1 < x < 1`

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I=`cos^-1sqrt((1+x)/2) `
Let` x=costheta`
I=`cos^-1sqrt((1+costheta)/2) `
=`sqrt((2cos^2(theta/2))/2)`
=`theta`
=`cos^(-1)x`
`dy/dx=-1/sqrt(1-x^2)`
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