What is the derivative of cot^8(x) ?

The derivative of cot^8(x) is -8cot^7(x)csc^2(x)

What is the first derivative of cot^8(x) ?

The first derivative of cot^8(x) is -8cot^7(x)csc^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (cot^{8} (x))

- 8 cot^{7} (x) csc^{2} (x)

Solution steps

\frac{d}{d x} (cot^{8} (x))

Apply the chain rule:

8 (cot (x))^{7} \frac{d}{d x} (cot (x))

= 8 (cot (x))^{7} \frac{d}{d x} (cot (x))

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

= 8 (cot (x))^{7} (- csc^{2} (x))

Simplify

= - 8 cot^{7} (x) csc^{2} (x)

What is the derivative of cot^8(x) ?
The derivative of cot^8(x) is -8cot^7(x)csc^2(x)
What is the first derivative of cot^8(x) ?
The first derivative of cot^8(x) is -8cot^7(x)csc^2(x)