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人気のある微分積分 >

derivative sec^3(x)

解

導関数

sec^{3} (x)

解

3 sec^{3} (x) tan (x)

解答ステップ

\frac{d}{d x} (sec^{3} (x))

連鎖法則を適用:

3 (sec (x))^{2} \frac{d}{d x} (sec (x))

= 3 (sec (x))^{2} \frac{d}{d x} (sec (x))

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

= 3 (sec (x))^{2} sec (x) tan (x)

簡素化

3 sec^{2} (x) sec (x) tan (x) : 3 sec^{3} (x) tan (x)

= 3 sec^{3} (x) tan (x)

グラフ

人気の例

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