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人気のある微分積分 >

(\partial)/(\partial s)(scos(t))

解

\frac{\partial}{\partial s} (s cos (t))

解

cos (t)

解答ステップ

\frac{\partial}{\partial s} (s cos (t))

t

を定数として扱う

定数を除去:

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

= cos (t) \frac{\partial}{\partial s} (s)

共通の導関数を適用:

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

= cos (t) \cdot 1

簡素化

= cos (t)

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