What is the derivative of csc^3(x) ?

The derivative of csc^3(x) is -3csc^3(x)cot(x)

What is the first derivative of csc^3(x) ?

The first derivative of csc^3(x) is -3csc^3(x)cot(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

= 3 (csc (x))^{2} \frac{d}{d x} (csc (x))

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

= 3 (csc (x))^{2} (- cot (x) csc (x))

Simplify

3 csc^{2} (x) (- cot (x) csc (x)) : - 3 csc^{3} (x) cot (x)

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

\int π (x)^{2} d x

\int_{- 1}^{2} 1 + 4 x^{2} d x

f (x) = 5 x^{2} - 2 x

x \to \infty lim (x^{3} + 4 x)

\int 49 e^{- 7 x} sin (7 x) d x

What is the derivative of csc^3(x) ?
The derivative of csc^3(x) is -3csc^3(x)cot(x)
What is the first derivative of csc^3(x) ?
The first derivative of csc^3(x) is -3csc^3(x)cot(x)