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Find a formula for the derivative of a given function

Find a formula for the derivative of the function

    \[ f(x) = \sqrt{x} \qquad x > 0. \]


Using the formula for the derivative of a rational power of x, we have

    \[ f'(x) = \frac{1}{2} x^{-\frac{1}{2}} \qquad x > 0. \]

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