What is the derivative of 2pi-xcos(x) ?

The derivative of 2pi-xcos(x) is xsin(x)-cos(x)

What is the first derivative of 2pi-xcos(x) ?

The first derivative of 2pi-xcos(x) is xsin(x)-cos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (2 π - x cos (x))

x sin (x) - cos (x)

Solution steps

\frac{d}{d x} (2 π - x cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 π) - \frac{d}{d x} (x cos (x))

\frac{d}{d x} (2 π) = 0

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

= 0 - (cos (x) - x sin (x))

Simplify

= x sin (x) - cos (x)

What is the derivative of 2pi-xcos(x) ?
The derivative of 2pi-xcos(x) is xsin(x)-cos(x)
What is the first derivative of 2pi-xcos(x) ?
The first derivative of 2pi-xcos(x) is xsin(x)-cos(x)