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Differntiate the following functions by ...

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

Text Solution

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`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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