Calc2.1063

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Find the derivative of f(x)=\sqrt{x+\sqrt{x+\sqrt{x}}}\,.


f'(x)=\frac{1}{2}\left(x+\sqrt{x+\sqrt{x}}\right)^{-1/2} \left(1 + \frac{1}{2}\left(x+\sqrt{x}\right)^{-1/2} \left(1 + \frac{1}{2}x^{-1/2} \right) \right) \,


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