What is the first derivative of-1x ?

The first derivative of-1x is -1

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derivative of-1x

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

- 1

Solution steps

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

Simplify

- 1 \cdot x : - x

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

Take the constant out:

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

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

Apply the common derivative:

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

= - 1

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