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人気のある微分積分 >

derivative tan^2(6x)

解

導関数

tan^{2} (6 x)

解

12 sec^{2} (6 x) tan (6 x)

解答ステップ

\frac{d}{d x} (tan^{2} (6 x))

連鎖法則を適用:

2 tan (6 x) \frac{d}{d x} (tan (6 x))

= 2 tan (6 x) \frac{d}{d x} (tan (6 x))

\frac{d}{d x} (tan (6 x)) = sec^{2} (6 x) \cdot 6

= 2 tan (6 x) sec^{2} (6 x) \cdot 6

簡素化

= 12 sec^{2} (6 x) tan (6 x)

グラフ

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