(\partial)/(\partial z)(ysin(xz))

解

\frac{\partial}{\partial z} (y sin (x z))

y cos (x z) x

解答ステップ

\frac{\partial}{\partial z} (y sin (x z))

y, x

を定数として扱う

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= y \frac{\partial}{\partial z} (sin (x z))

連鎖法則を適用:

cos (x z) \frac{\partial}{\partial z} (x z)

= cos (x z) \frac{\partial}{\partial z} (x z)

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

= y cos (x z) x