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人気のある微分積分 >

derivative of arcsec(2x)

解

\frac{d}{d x} (arcsec (2 x))

解

\frac{1}{x 4 x ^{2} - 1}

解答ステップ

\frac{d}{d x} (arcsec (2 x))

連鎖法則を適用:

\frac{1}{( 2 x ) ^{2} ( 2 x ) ^{2} - 1} \frac{d}{d x} (2 x)

= \frac{1}{( 2 x ) ^{2} ( 2 x ) ^{2} - 1} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= \frac{1}{( 2 x ) ^{2} ( 2 x ) ^{2} - 1} \cdot 2

簡素化

\frac{1}{( 2 x ) ^{2} ( 2 x ) ^{2} - 1} \cdot 2 : \frac{1}{x 4 x ^{2} - 1}

= \frac{1}{x 4 x ^{2} - 1}

グラフ

人気の例

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