What is the derivative of cot^4(x) ?

The derivative of cot^4(x) is -4cot^3(x)csc^2(x)

What is the first derivative of cot^4(x) ?

The first derivative of cot^4(x) is -4cot^3(x)csc^2(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} (cot^{4} (x))

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

Solution steps

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

Apply the chain rule:

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

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

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

= 4 (cot (x))^{3} (- csc^{2} (x))

Simplify

= - 4 cot^{3} (x) csc^{2} (x)

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

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

\int x + 5 d x

\frac{- x ^{2}}{2}

\frac{d}{d x} (- 8 e^{- 4 x^{2}} x)

What is the derivative of cot^4(x) ?
The derivative of cot^4(x) is -4cot^3(x)csc^2(x)
What is the first derivative of cot^4(x) ?
The first derivative of cot^4(x) is -4cot^3(x)csc^2(x)