What is the derivative of sec(x/2) ?

The derivative of sec(x/2) is sec(x/2)tan(x/2) 1/2

What is the first derivative of sec(x/2) ?

The first derivative of sec(x/2) is sec(x/2)tan(x/2) 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int e^{x + y + z} d x

\int_{0}^{1} (7 e^{x} - 7 x e^{x^{2}}) d x

d er i v a t i v e f (x) = 3 x ln (19 x)

\int 3 x^{2} cos (2 x) d x

\frac{d y}{d x} - 2 x y = 4 x

What is the derivative of sec(x/2) ?
The derivative of sec(x/2) is sec(x/2)tan(x/2) 1/2
What is the first derivative of sec(x/2) ?
The first derivative of sec(x/2) is sec(x/2)tan(x/2) 1/2