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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

cos (x) - x sin (x)

- 2 sin (x) - x cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - sin (x) - (sin (x) + x cos (x))

Simplify

= - 2 sin (x) - x cos (x)

\frac{d y}{d x} = 2 x y^{2} + 72 x

\int (e^{\frac{x}{3}} - \frac{2}{x}) d x

\frac{d}{d x} (2^{x} + cos (3 x))

\int \frac{sin ( 2 x )}{47 + cos ^{2} ( x )} d x

y = \frac{6 x}{x ^{2} + 1}, (- 1, - 3)

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