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))

Simplify

- (x + 1) : - x - 1

= \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

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