(\partial)/(\partial x)((13x-1)(3y-1))

解

\frac{\partial}{\partial x} ((13 x - 1) (3 y - 1))

13 (3 y - 1)

解答ステップ

\frac{\partial}{\partial x} ((13 x - 1) (3 y - 1))

y

を定数として扱う

定数を除去:

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

= (3 y - 1) \frac{\partial}{\partial x} (13 x - 1)

和/差の法則を適用:

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

= (3 y - 1) (\frac{\partial}{\partial x} (13 x) - \frac{\partial}{\partial x} (1))

\frac{\partial}{\partial x} (13 x) = 13

\frac{\partial}{\partial x} (1) = 0

= (3 y - 1) (13 - 0)

簡素化

= 13 (3 y - 1)