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人気のある微分積分 >

d/(du)(ln(ucos(v)))

解

\frac{d}{d u} (ln (u cos (v)))

解

\frac{1}{u}

解答ステップ

\frac{d}{d u} (ln (u cos (v)))

v

を定数として扱う

連鎖法則を適用:

\frac{1}{u cos ( v )} \frac{d}{d u} (u cos (v))

= \frac{1}{u cos ( v )} \frac{d}{d u} (u cos (v))

\frac{d}{d u} (u cos (v)) = cos (v)

= \frac{1}{u cos ( v )} cos (v)

簡素化

\frac{1}{u cos ( v )} cos (v) : \frac{1}{u}

= \frac{1}{u}

グラフ

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