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人気のある微分積分 >

(csc^2(x))^'

解

(csc^{2} (x))^{^{'}}

解

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

解答ステップ

(csc^{2} (x))^{'}

連鎖法則を適用:

2 csc (x) (csc (x))^{'}

= 2 csc (x) (csc (x))^{'}

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

= 2 csc (x) (- cot (x) csc (x))

簡素化

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

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

グラフ

人気の例

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\int \frac{x}{25 - x ^{2}} d x

implicit (dy)/(dx),y^3=x^2

im pl i c i t \frac{d y}{d x}, y^{3} = x^{2}

derivative of 2x^3+3x^2-12x+5

\frac{d}{d x} (2 x^{3} + 3 x^{2} - 12 x + 5)

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\int 19 sin^{2} (x) cos^{2} (x) d x

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