Differentiate the following function with respect to x: `x^(sin^(-1)x)`

Explanation

Let` y=x^{sin ^{-1} x}`

Taking log both the sides

`implies log y=log x^{sin ^{-1} x} `

`implies log y=sin ^{-1} x log x{log x^{a}=a log x}`



Differentiating with respect to x


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