(\partial)/(\partial x)(50y+3250-100x)

解

\frac{\partial}{\partial x} (50 y + 3250 - 100 x)

- 100

解答ステップ

\frac{\partial}{\partial x} (50 y + 3250 - 100 x)

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} (50 y) + \frac{\partial}{\partial x} (3250) - \frac{\partial}{\partial x} (100 x)

\frac{\partial}{\partial x} (50 y) = 0

\frac{\partial}{\partial x} (3250) = 0

\frac{\partial}{\partial x} (100 x) = 100

= 0 + 0 - 100

簡素化

= - 100