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人気のある微分積分 >

derivative csc^2(x)

解

導関数

csc^{2} (x)

解

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

解答ステップ

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

連鎖法則を適用:

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

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

\frac{d}{d 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

tangent f(x)=3x^2+5x-4,\at x=-0.6667

t an g e n t f (x) = 3 x^{2} + 5 x - 4, at x = - 0.6667

y=u+2/u ,u=(2x+1)^3,x=0

y = u + \frac{2}{u}, u = (2 x + 1)^{3}, x = 0

y^{''}+y=(t^2+t)*sin(t)

y^{^{''}} + y = (t^{2} + t) \cdot sin (t)

tangent f(x)=0.5x^2+2x-3,\at x=-3

t an g e n t f (x) = 0.5 x^{2} + 2 x - 3, at x = - 3

integral of 1/(z^3sqrt(z^2-4))

\int \frac{1}{z ^{3} z ^{2} - 4} d z