derivative of (csc(x)^2)

解答

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

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

求解步骤

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

使用连锁律:

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))

化简

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

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

n = 1 \sum \infty e^{- 8 n}

t \to π lim (cos (\frac{2 t}{3}))

a re a f (x) = - x^{2} + 4, y + 2 x - 4 = 0

\int_{\frac{1}{2}}^{2} \frac{1}{x ^{2}} d x

a re a e^{x}, e^{4 x}, [0, 1]