What is the derivative of x/2-tan(x) ?

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

\frac{1}{2} - sec^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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