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Differntiate the following functions by proper substitution.cos^(-1)(2t^2-1)

Answer»

SOLUTION :`y=COS^(-1)2t^2-1)`[PUT`t=costheta`
`=cos^(-1)(2cos^2theta-1)`
`=cos^(-1)cos2theta=2theta=2 cos^(-1)`
`thereforedy/dx=-2/sqrt(1-t^2)`


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