(\partial)/(\partial {K)}(({Q})(3{K}^2+3L))

解

\frac{\partial}{\partial K} ((Q) (3 K^{2} + 3 L))

6 Q K

解答ステップ

\frac{\partial}{\partial K} ((Q) (3 K^{2} + 3 L))

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= Q \frac{\partial}{\partial K} (3 K^{2} + 3 L)

和/差の法則を適用:

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

= Q (\frac{\partial}{\partial K} (3 K^{2}) + \frac{\partial}{\partial K} (3 L))

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

\frac{\partial}{\partial K} (3 L) = 0

= Q (6 K + 0)

簡素化

= 6 Q K