What is the derivative of cos(t)+t^2sin(t) ?

The derivative of cos(t)+t^2sin(t) is -sin(t)+2tsin(t)+cos(t)t^2

What is the first derivative of cos(t)+t^2sin(t) ?

The first derivative of cos(t)+t^2sin(t) is -sin(t)+2tsin(t)+cos(t)t^2

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^{2} sin (t)

- sin (t) + 2 t sin (t) + cos (t) t^{2}

Solution steps

\frac{d}{d t} (cos (t) + t^{2} sin (t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (cos (t)) + \frac{d}{d t} (t^{2} sin (t))

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

\frac{d}{d t} (t^{2} sin (t)) = 2 t sin (t) + cos (t) t^{2}

= - sin (t) + 2 t sin (t) + cos (t) t^{2}

f (x) = arctan (\frac{x}{a})

\frac{d}{d x} (cosh^{3} (x))

\int (10 x + 6) d x

\frac{d}{d x} (\frac{x ^{2}}{5})

\int \frac{5 ln ( x )}{x ^{3}} d x

What is the derivative of cos(t)+t^2sin(t) ?
The derivative of cos(t)+t^2sin(t) is -sin(t)+2tsin(t)+cos(t)t^2
What is the first derivative of cos(t)+t^2sin(t) ?
The first derivative of cos(t)+t^2sin(t) is -sin(t)+2tsin(t)+cos(t)t^2