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人気のある微分積分 >

derivative ln(sec(x))

解

導関数

ln (sec (x))

解

tan (x)

解答ステップ

\frac{d}{d x} (ln (sec (x)))

連鎖法則を適用:

\frac{1}{sec ( x )} \frac{d}{d x} (sec (x))

= \frac{1}{sec ( x )} \frac{d}{d x} (sec (x))

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= \frac{1}{sec ( x )} sec (x) tan (x)

簡素化

\frac{1}{sec ( x )} sec (x) tan (x) : tan (x)

= tan (x)

グラフ

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