What is the first derivative of x/2+1 ?

The first derivative of x/2+1 is 1/2

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derivative of x/2+1

\frac{d}{d x} (\frac{x}{2} + 1)

\frac{1}{2}

Solution steps

\frac{d}{d x} (\frac{x}{2} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{2}) + \frac{d}{d x} (1)

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

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

= \frac{1}{2} + 0

Simplify

= \frac{1}{2}

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