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人気のある微分積分 >

derivative f(x)=sec^2(x)-1

解

導関数

f (x) = sec^{2} (x) - 1

解

2 tan (x) sec^{2} (x)

解答ステップ

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

簡素化

sec^{2} (x) - 1 : tan^{2} (x)

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

連鎖法則を適用:

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

= 2 tan (x) \frac{d}{d x} (tan (x))

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

= 2 tan (x) sec^{2} (x)

グラフ

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