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人気のある微分積分 >

derivative of 4sec(4x)

解

\frac{d}{d x} (4 sec (4 x))

解

16 sec (4 x) tan (4 x)

解答ステップ

\frac{d}{d x} (4 sec (4 x))

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (sec (4 x))

連鎖法則を適用:

sec (4 x) tan (4 x) \frac{d}{d x} (4 x)

= sec (4 x) tan (4 x) \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= 4 sec (4 x) tan (4 x) \cdot 4

簡素化

= 16 sec (4 x) tan (4 x)

グラフ

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