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人気のある微分積分 >

derivative cos(tan^3(x))

解

導関数

cos (tan^{3} (x))

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

グラフ

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