What is the first derivative of 1/2 x ?

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

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derivative of 1/2 x

derivative of

\frac{1}{2} x

\frac{1}{2}

Decimal

0.5

Solution steps

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

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}