derivative-9/2 x^2+3x+3

解

導関数

- \frac{9}{2} x^{2} + 3 x + 3

- 9 x + 3

解答ステップ

\frac{d}{d x} (- \frac{9}{2} x^{2} + 3 x + 3)

簡素化

- \frac{9}{2} x^{2} + 3 x + 3 : - \frac{9 x ^{2}}{2} + 3 x + 3

= \frac{d}{d x} (- \frac{9 x ^{2}}{2} + 3 x + 3)

和/差の法則を適用:

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

= - \frac{d}{d x} (\frac{9 x ^{2}}{2}) + \frac{d}{d x} (3 x) + \frac{d}{d x} (3)

\frac{d}{d x} (\frac{9 x ^{2}}{2}) = 9 x

\frac{d}{d x} (3 x) = 3

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

= - 9 x + 3 + 0

簡素化

= - 9 x + 3