(\partial)/(\partial z)(x^2+y^2z)

解

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

y^{2}

解答ステップ

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

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

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

\frac{\partial}{\partial z} (y^{2} z) = y^{2}

= 0 + y^{2}

簡素化

= y^{2}