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人気のある微分積分 >

derivative of tan(x+1/x)

解

\frac{d}{d x} (tan (x) + \frac{1}{x})

解

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

解答ステップ

\frac{d}{d x} (tan (x) + \frac{1}{x})

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

グラフ

人気の例

derivative y=\sqrt[8]{x}

d er i v a t i v e y = 8 x

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x \to π - lim (csc (x))

integral from 0 to 1 of 1/(sqrt(4-t^2))

\int_{0}^{1} \frac{1}{4 - t ^{2}} d t

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t an g e n t y = \frac{5}{x ^{3}}

derivative of (3x^{4x})

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