(\partial)/(\partial x)(3x^2-6x-9)

解

\frac{\partial}{\partial x} (3 x^{2} - 6 x - 9)

6 x - 6

解答ステップ

\frac{\partial}{\partial x} (3 x^{2} - 6 x - 9)

和/差の法則を適用:

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

= \frac{\partial}{\partial x} (3 x^{2}) - \frac{\partial}{\partial x} (6 x) - \frac{\partial}{\partial x} (9)

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

\frac{\partial}{\partial x} (6 x) = 6

\frac{\partial}{\partial x} (9) = 0

= 6 x - 6 - 0

簡素化

= 6 x - 6