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人気のある微分積分 >

derivative of tan(5x^2)

解

\frac{d}{d x} (tan (5 x^{2}))

解

sec^{2} (5 x^{2}) \cdot 10 x

解答ステップ

\frac{d}{d x} (tan (5 x^{2}))

連鎖法則を適用:

sec^{2} (5 x^{2}) \frac{d}{d x} (5 x^{2})

= sec^{2} (5 x^{2}) \frac{d}{d x} (5 x^{2})

\frac{d}{d x} (5 x^{2}) = 10 x

= sec^{2} (5 x^{2}) \cdot 10 x

グラフ

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