What is the derivative of cos(x)-tan(x) ?

The derivative of cos(x)-tan(x) is -sin(x)-sec^2(x)

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

The first derivative of cos(x)-tan(x) is -sin(x)-sec^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

cos (x) - tan (x)

- sin (x) - sec^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

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

= - sin (x) - sec^{2} (x)

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