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人気のある微分積分 >

derivative of csc(x-cot(x))

解

\frac{d}{d x} (csc (x) - cot (x))

解

\frac{1}{1 + cos ( x )}

解答ステップ

\frac{d}{d x} (csc (x) - cot (x))

和/差の法則を適用:

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

= \frac{d}{d x} (csc (x)) - \frac{d}{d x} (cot (x))

\frac{d}{d x} (csc (x)) = - cot (x) csc (x)

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

= - cot (x) csc (x) - (- csc^{2} (x))

簡素化

- cot (x) csc (x) - (- csc^{2} (x)) : \frac{1}{1 + cos ( x )}

= \frac{1}{1 + cos ( x )}

グラフ

人気の例

integral of (18x+4)(9x^2+4x)^5

\int (18 x + 4) (9 x^{2} + 4 x)^{5} d x

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