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Differentiate xcos^(-1)x with respect to...

Differentiate `xcos^(-1)x` with respect to `x` :

Text Solution

Verified by Experts

Given that,
`y=xcos^(-1)x`
`(dy)/(dx)=d/(dx)xcos^(-1)x`
`=cos^-1x d/(dx) (x) +x d/(dx)(cos^-1x)`
`=1 xx cos^-1 x+(-1/sqrt(1-x^2)x`
`=cos^-1x - x/sqrt(1-x^2)`
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