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人気のある微分積分 >

(d^2)/(dx^2)(sec^2(x))

解

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

解

- 4 sec^{2} (x) + 6 sec^{4} (x)

解答ステップ

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

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

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

\frac{d}{d x} (2 sec^{2} (x) tan (x)) = - 4 sec^{2} (x) + 6 sec^{4} (x)

= - 4 sec^{2} (x) + 6 sec^{4} (x)

人気の例

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\int \frac{1}{x ^{2} + 49} d x

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\int (x^{2} + x)^{10} (2 x + 1) d x

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