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人気のある微分積分 >

derivative of tan^3(2x)

解

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

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

簡素化

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

グラフ

人気の例

integral of 7/(2x^{9/4)}

\int \frac{7}{2 x ^{\frac{9}{4}}} d x

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y^{^{''}} - 8 y^{^{'}} + 16 y = t^{- 9} e^{4 t}

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