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人気のある微分積分 >

derivative of sec(1+x^2)

解

\frac{d}{d x} (sec (1 + x^{2}))

解

sec (1 + x^{2}) tan (1 + x^{2}) \cdot 2 x

解答ステップ

\frac{d}{d x} (sec (1 + x^{2}))

連鎖法則を適用:

sec (1 + x^{2}) tan (1 + x^{2}) \frac{d}{d x} (1 + x^{2})

= sec (1 + x^{2}) tan (1 + x^{2}) \frac{d}{d x} (1 + x^{2})

\frac{d}{d x} (1 + x^{2}) = 2 x

= sec (1 + x^{2}) tan (1 + x^{2}) \cdot 2 x

グラフ

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