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人気のある微分積分 >

derivative sec^6(x)

解

導関数

sec^{6} (x)

解

6 sec^{6} (x) tan (x)

解答ステップ

\frac{d}{d x} (sec^{6} (x))

連鎖法則を適用:

6 (sec (x))^{5} \frac{d}{d x} (sec (x))

= 6 (sec (x))^{5} \frac{d}{d x} (sec (x))

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

= 6 (sec (x))^{5} sec (x) tan (x)

簡素化

6 sec^{5} (x) sec (x) tan (x) : 6 sec^{6} (x) tan (x)

= 6 sec^{6} (x) tan (x)

グラフ

人気の例

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