What is the first derivative of-4x ?

The first derivative of-4x is -4

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derivative of-4x

\frac{d}{d x} (- 4 x)

- 4

Solution steps

\frac{d}{d x} (- 4 x)

Take the constant out:

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

= - 4 \frac{d x}{d x}

Apply the common derivative:

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

= - 4 \cdot 1

Simplify

= - 4

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