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人気のある微分積分 >

(\partial)/(\partial z)(-3xysin(z))

解

\frac{\partial}{\partial z} (- 3 x y sin (z))

解

- 3 x y cos (z)

解答ステップ

\frac{\partial}{\partial z} (- 3 x y sin (z))

x, y

を定数として扱う

定数を除去:

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

= - 3 x y \frac{\partial}{\partial z} (sin (z))

共通の導関数を適用:

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

= - 3 x y cos (z)

人気の例

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\int (7 + x + x^{2}) d x