What is the first derivative of-x-1 ?

The first derivative of-x-1 is -1

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derivative of-x-1

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

- 1

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (1) = 0

= - 1 - 0

Simplify

= - 1

x \to + 1 lim (\frac{1 - x}{x ^{2} - 1})

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