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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