What is the first derivative of-ax ?

The first derivative of-ax is -a

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derivative of-ax

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

- a

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= - a \cdot 1

Simplify

= - a

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