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人気のある微分積分 >

derivative derivative of tan(x/2)

解

導関数

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

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

グラフ

人気の例

derivative derivative of e^2

d er i v a t i v e \frac{d}{d x} (e^{2})

勾配 (2,1),(5,3)

s l o p e (2, 1), (5, 3)

勾配 (-1,0),(0,1)

s l o p e (- 1, 0), (0, 1)

derivative derivative of tan^2(x)

d er i v a t i v e \frac{d}{d x} (tan^{2} (x))

積分記号 f(x)= 1/((x^2))

in t e g r a l f (x) = \frac{1}{( x ^{2} )}