What is the first derivative of-0.5x ?

The first derivative of-0.5x is -0.5

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derivative of-0.5x

\frac{d}{d x} (- 0.5 x)

- 0.5

Solution steps

\frac{d}{d x} (- 0.5 x)

Take the constant out:

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

= - 0.5 \frac{d x}{d x}

Apply the common derivative:

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

= - 0.5 \cdot 1

Simplify

= - 0.5

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