What is the derivative of cos(t)+tsin(t) ?

The derivative of cos(t)+tsin(t) is tcos(t)

What is the first derivative of cos(t)+tsin(t) ?

The first derivative of cos(t)+tsin(t) is tcos(t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

cos (t) + t sin (t)

t cos (t)

Solution steps

\frac{d}{d t} (cos (t) + t sin (t))

Apply the Sum/Difference Rule:

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

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

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

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

= - sin (t) + sin (t) + t cos (t)

Simplify

= t cos (t)

\int 6 x - 7 d x

\frac{d}{d x} (I n^{3} x)

\int \frac{ln ( 9 x ^{2} - 1 )}{x ^{3}} d x

3 x^{2} + 5

- 2 x^{2}

What is the derivative of cos(t)+tsin(t) ?
The derivative of cos(t)+tsin(t) is tcos(t)
What is the first derivative of cos(t)+tsin(t) ?
The first derivative of cos(t)+tsin(t) is tcos(t)