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Compute the derivative of f(x) = x^arcsin x

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Compute the derivative of f(x) = x^arcsin x. x^arcsin x(ln x/squareroot 1 - x^2 + arcsin x/x) x^arcsin x (1/squareroot 1 - x^2 + arcsin x/x) 1/squareroot 1 - x^2 1/squareroot 1 - x^2 + arcsin x/x x/squareroot 1 - x^2 + arcsin x