What is the derivative of ln(sinh(2x)) ?

The derivative of ln(sinh(2x)) is 2coth(2x)

What is the first derivative of ln(sinh(2x)) ?

The first derivative of ln(sinh(2x)) is 2coth(2x)

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 (sinh (2 x)))

2 coth (2 x)

Solution steps

\frac{d}{d x} (ln (sinh (2 x)))

Apply the chain rule:

\frac{1}{sinh ( 2 x )} \frac{d}{d x} (sinh (2 x))

= \frac{1}{sinh ( 2 x )} \frac{d}{d x} (sinh (2 x))

\frac{d}{d x} (sinh (2 x)) = cosh (2 x) \cdot 2

= \frac{1}{sinh ( 2 x )} cosh (2 x) \cdot 2

Simplify

\frac{1}{sinh ( 2 x )} cosh (2 x) \cdot 2 : 2 coth (2 x)

= 2 coth (2 x)

\int \frac{e ^{x}}{1 + 9 e ^{2 x}} d x

x \to 3 lim (2 e^{x - 3})

\frac{s}{( s - 1 ) ^{2} + 4}

\frac{d}{d x} (5^{x} + 7^{x})

\frac{d}{d x} (- 262144 cos (2 x))

What is the derivative of ln(sinh(2x)) ?
The derivative of ln(sinh(2x)) is 2coth(2x)
What is the first derivative of ln(sinh(2x)) ?
The first derivative of ln(sinh(2x)) is 2coth(2x)