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

解

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

3

解答ステップ

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

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

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

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

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

= 3 - 0 - 0

簡素化

= 3