(\partial)/(\partial y)(50y+3000-100x)

解

\frac{\partial}{\partial y} (50 y + 3000 - 100 x)

50

解答ステップ

\frac{\partial}{\partial y} (50 y + 3000 - 100 x)

x

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 y} (50 y) + \frac{\partial}{\partial y} (3000) - \frac{\partial}{\partial y} (100 x)

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

\frac{\partial}{\partial y} (3000) = 0

\frac{\partial}{\partial y} (100 x) = 0

= 50 + 0 - 0

簡素化

= 50