d/(dX)((X^2)/2+2X-3)

解

\frac{d}{d X} (\frac{X ^{2}}{2} + 2 X - 3)

X + 2

解答ステップ

\frac{d}{d X} (\frac{X ^{2}}{2} + 2 X - 3)

和/差の法則を適用:

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

= \frac{d}{d X} (\frac{X ^{2}}{2}) + \frac{d}{d X} (2 X) - \frac{d}{d X} (3)

\frac{d}{d X} (\frac{X ^{2}}{2}) = X

\frac{d}{d X} (2 X) = 2

\frac{d}{d X} (3) = 0

= X + 2 - 0

簡素化

= X + 2