What is the d/(dt)(tcos(t)) ?

The d/(dt)(tcos(t)) is cos(t)-tsin(t)

What is the first d/(dt)(tcos(t)) ?

The first d/(dt)(tcos(t)) is cos(t)-tsin(t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

cos (t) - t sin (t)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t, g = cos (t)

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

\frac{d t}{d t} = 1

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

= 1 \cdot cos (t) + (- sin (t)) t

Simplify

= cos (t) - t sin (t)

cos (5 t) + sin (2 t)

n = 0 \sum \infty \frac{9}{10 0 ^{n}}

\frac{d y}{d x} = \frac{y}{x} ln (\frac{y}{x})

\frac{\partial ^{2}}{\partial r \partial θ} (r (θ) θ)

\frac{d}{d x} ((x + 1) e^{x})