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人気のある微分積分 >

derivative f(x)=3sec(5x)

解

導関数

f (x) = 3 sec (5 x)

解

15 sec (5 x) tan (5 x)

解答ステップ

\frac{d}{d x} (3 sec (5 x))

定数を除去:

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

= 3 \frac{d}{d x} (sec (5 x))

連鎖法則を適用:

sec (5 x) tan (5 x) \frac{d}{d x} (5 x)

= sec (5 x) tan (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= 3 sec (5 x) tan (5 x) \cdot 5

簡素化

= 15 sec (5 x) tan (5 x)

グラフ

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