What is the derivative of log_{e}(tan(x)) ?

The derivative of log_{e}(tan(x)) is 2csc(2x)

What is the first derivative of log_{e}(tan(x)) ?

The first derivative of log_{e}(tan(x)) is 2csc(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} (lo g_{e} (tan (x)))

2 csc (2 x)

Solution steps

\frac{d}{d x} (lo g_{e} (tan (x)))

Simplify

lo g_{e} (tan (x)) : ln (tan (x))

= \frac{d}{d x} (ln (tan (x)))

Apply the chain rule:

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

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= \frac{1}{tan ( x )} sec^{2} (x)

Simplify

\frac{1}{tan ( x )} sec^{2} (x) : 2 csc (2 x)

= 2 csc (2 x)

\frac{d}{d x} (\frac{x ^{2} - 8 x}{2 x - 3})

\int - \frac{1}{2 x} d x

\frac{6 x}{4 - x ^{2}}, at x = 0

\frac{d}{d x} (4 7 x^{2} + 9)

\int \frac{x}{x ^{2} + 4} d x

What is the derivative of log_{e}(tan(x)) ?
The derivative of log_{e}(tan(x)) is 2csc(2x)
What is the first derivative of log_{e}(tan(x)) ?
The first derivative of log_{e}(tan(x)) is 2csc(2x)