What is the first derivative of x 1/2 ?

The first derivative of x 1/2 is 1/2

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derivative of x 1/2

\frac{d}{d x} (x \frac{1}{2})

\frac{1}{2}

Solution steps

\frac{d}{d x} (x \frac{1}{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{2} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= \frac{1}{2} \cdot 1

Simplify

= \frac{1}{2}

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