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人気のある微分積分 >

derivative tan^2(5θ)

解

導関数

tan^{2} (5 θ)

解

10 sec^{2} (5 θ) tan (5 θ)

解答ステップ

\frac{d}{d θ} (tan^{2} (5 θ))

連鎖法則を適用:

2 tan (5 θ) \frac{d}{d θ} (tan (5 θ))

= 2 tan (5 θ) \frac{d}{d θ} (tan (5 θ))

\frac{d}{d θ} (tan (5 θ)) = sec^{2} (5 θ) \cdot 5

= 2 tan (5 θ) sec^{2} (5 θ) \cdot 5

簡素化

= 10 sec^{2} (5 θ) tan (5 θ)

グラフ

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