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人気のある微分積分 >

derivative of csc^4(x)

解

\frac{d}{d x} (csc^{4} (x))

解

- 4 csc^{4} (x) cot (x)

解答ステップ

\frac{d}{d x} (csc^{4} (x))

連鎖法則を適用:

4 (csc (x))^{3} \frac{d}{d x} (csc (x))

= 4 (csc (x))^{3} \frac{d}{d x} (csc (x))

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

= 4 (csc (x))^{3} (- cot (x) csc (x))

簡素化

4 csc^{3} (x) (- cot (x) csc (x)) : - 4 csc^{4} (x) cot (x)

= - 4 csc^{4} (x) cot (x)

グラフ

人気の例

derivative of (e^{2x}/x)

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

sum from n=0 to infinity of 5/(n!)

n = 0 \sum \infty \frac{5}{n !}

derivative of 1/(x^2+9)

\frac{d}{d x} (\frac{1}{x ^{2} + 9})

勾配 (3,-6),(5,-5)

s l o p e (3, - 6), (5, - 5)

面積 y=x^3-1,y=x-1

a re a y = x^{3} - 1, y = x - 1