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

The derivative of ln(tan(x)) is 2csc(2x)

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

The first derivative of ln(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 >

derivative of

ln (tan (x))

2 csc (2 x)

Solution steps

\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{\partial}{\partial x} (\frac{( - x + y )}{x \cdot y + 3 \cdot x})

y^{^{'}} = y^{2} (5 + x)

\frac{\partial}{\partial x} (\frac{z}{1 + z ^{2} y ^{2}})

\frac{d}{d x} (A x e^{3 x})

f (t) = sin (t) - t cos (t)

What is the derivative of ln(tan(x)) ?
The derivative of ln(tan(x)) is 2csc(2x)
What is the first derivative of ln(tan(x)) ?
The first derivative of ln(tan(x)) is 2csc(2x)