What is the derivative of-1/2 x ?

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

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

- \frac{1}{2} x

- \frac{1}{2}

Solution steps

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

Simplify

- \frac{1}{2} x : - \frac{x}{2}

= \frac{d}{d x} (- \frac{x}{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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