(\partial)/(\partial y)(8x^2+7y^2+2)

解

\frac{\partial}{\partial y} (8 x^{2} + 7 y^{2} + 2)

14 y

解答ステップ

\frac{\partial}{\partial y} (8 x^{2} + 7 y^{2} + 2)

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} (8 x^{2}) + \frac{\partial}{\partial y} (7 y^{2}) + \frac{\partial}{\partial y} (2)

\frac{\partial}{\partial y} (8 x^{2}) = 0

\frac{\partial}{\partial y} (7 y^{2}) = 14 y

\frac{\partial}{\partial y} (2) = 0

= 0 + 14 y + 0

簡素化

= 14 y