derivative of 1/2 x+1

解

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

\frac{1}{2}

十進法表記

0.5

解答ステップ

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

簡素化

\frac{1}{2} x + 1 : \frac{x}{2} + 1

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

和/差の法則を適用:

(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

簡素化

= \frac{1}{2}