What is the derivative of ln|tan(x/2 |+C) ?

The derivative of ln|tan(x/2 |+C) is csc(x)

What is the first derivative of ln|tan(x/2 |+C) ?

The first derivative of ln|tan(x/2 |+C) is csc(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 tan (\frac{x}{2}) + C)

csc (x)

Solution steps

\frac{d}{d x} (ln tan (\frac{x}{2}) + C)

Treat

C

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (ln tan (\frac{x}{2})) + \frac{d C}{d x}

\frac{d}{d x} (ln tan (\frac{x}{2})) = csc (x)

\frac{d C}{d x} = 0

= csc (x) + 0

Simplify

= csc (x)

\frac{d ^{2}}{d x ^{2}} (3 sec (x))

\int 3 cos (x) d x

\frac{d}{d x} (x^{2} + k)

\int (10 x - 9) d x

3 y^{^{'}} + 12 y = 24

What is the derivative of ln|tan(x/2 |+C) ?
The derivative of ln|tan(x/2 |+C) is csc(x)
What is the first derivative of ln|tan(x/2 |+C) ?
The first derivative of ln|tan(x/2 |+C) is csc(x)