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人気のある微分積分 >

derivative f(x)=tan(2x-x^3)

解

導関数

f (x) = tan (2 x - x^{3})

解

sec^{2} (2 x - x^{3}) (2 - 3 x^{2})

解答ステップ

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

連鎖法則を適用:

sec^{2} (2 x - x^{3}) \frac{d}{d x} (2 x - x^{3})

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

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

= sec^{2} (2 x - x^{3}) (2 - 3 x^{2})

グラフ

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