(\partial)/(\partial x)(7x-3y+4)

解

\frac{\partial}{\partial x} (7 x - 3 y + 4)

7

解答ステップ

\frac{\partial}{\partial x} (7 x - 3 y + 4)

y

を定数として扱う

和/差の法則を適用:

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

= \frac{\partial}{\partial x} (7 x) - \frac{\partial}{\partial x} (3 y) + \frac{\partial}{\partial x} (4)

\frac{\partial}{\partial x} (7 x) = 7

\frac{\partial}{\partial x} (3 y) = 0

\frac{\partial}{\partial x} (4) = 0

= 7 - 0 + 0

簡素化

= 7