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人気のある微分積分 >

(\partial)/(\partial x)(xe^{2y}sin(5z))

解

\frac{\partial}{\partial x} (x e^{2 y} sin (5 z))

解

e^{2 y} sin (5 z)

解答ステップ

\frac{\partial}{\partial x} (x e^{2 y} sin (5 z))

y, z

を定数として扱う

定数を除去:

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

= e^{2 y} sin (5 z) \frac{\partial}{\partial x} (x)

共通の導関数を適用:

\frac{\partial}{\partial x} (x) = 1

= e^{2 y} sin (5 z) \cdot 1

簡素化

= e^{2 y} sin (5 z)

人気の例

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