What is the first derivative of-x+6 ?

The first derivative of-x+6 is -1

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derivative of-x+6

\frac{d}{d x} (- x + 6)

- 1

Solution steps

\frac{d}{d x} (- x + 6)

Apply the Sum/Difference Rule:

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

= - \frac{d x}{d x} + \frac{d}{d x} (6)

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

\frac{d}{d x} (6) = 0

= - 1 + 0

Simplify

= - 1

- \frac{1}{2} y = \frac{d y}{d t}

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n = 0 \sum \infty \frac{1}{5 n + 1}