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Compute the derivative of the given function

Compute the derivative of the function

    \[ f(x) = \sqrt{1+x^2}. \]


Using the chain rule we compute,

    \[ f'(x) = \frac{1}{2} (1+x^2)^{-\frac{1}{2}} (2x) = \frac{x}{\sqrt{1+x^2}}. \]

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