What is the derivative of ln(csc(x)) ?

The derivative of ln(csc(x)) is -cot(x)

What is the first derivative of ln(csc(x)) ?

The first derivative of ln(csc(x)) is -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} (ln (csc (x)))

- cot (x)

Solution steps

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

Apply the chain rule:

\frac{1}{csc ( x )} \frac{d}{d x} (csc (x))

= \frac{1}{csc ( x )} \frac{d}{d x} (csc (x))

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

= \frac{1}{csc ( x )} (- cot (x) csc (x))

Simplify

\frac{1}{csc ( x )} (- cot (x) csc (x)) : - cot (x)

= - cot (x)

\frac{d}{d t} (ln (t^{2}))

\frac{d}{d x} (x^{\frac{3}{4}} - 2 x^{\frac{1}{4}})

\frac{\partial}{\partial x} (\frac{4 y}{x})

\int_{- 32}^{18} \frac{1}{∣ 2 x ∣} d x

n = 1 \sum \infty (\frac{1}{2 ^{n}}) - 1

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