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人気のある微分積分 >

derivative sin(x)+7/3 cot(x)

解

導関数

sin (x) + \frac{7}{3} cot (x)

解

cos (x) - \frac{7}{3} csc^{2} (x)

解答ステップ

\frac{d}{d x} (sin (x) + \frac{7}{3} cot (x))

和/差の法則を適用:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{7}{3} cot (x))

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (\frac{7}{3} cot (x)) = - \frac{7}{3} csc^{2} (x)

= cos (x) - \frac{7}{3} csc^{2} (x)

グラフ

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