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Differntiate the following functions by proper substitution.sin^(-1)2xsqrt(1-x^2)

Answer»

SOLUTION :`y=sin^(-1)2xsqrt(1-X^2)`[Putx=`sin thet
`sin^(-1)(2 sin THETA.cos theta)`
`sin^(-1)sin2theta=2theta=2 sin^(-1)x.`
`dy/dx=2/sqrt(1-x^2)`


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