What is the d/(dt)(({r}(t))(2sin(t)-e^{-t})) ?

The d/(dt)(({r}(t))(2sin(t)-e^{-t})) is d/(dt)({r}(t))(2sin(t)-e^{-t})+(2cos(t)+e^{-t}){r}(t)

What is the first d/(dt)(({r}(t))(2sin(t)-e^{-t})) ?

The first d/(dt)(({r}(t))(2sin(t)-e^{-t})) is d/(dt)({r}(t))(2sin(t)-e^{-t})+(2cos(t)+e^{-t}){r}(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} ((r (t)) (2 sin (t) - e^{- t}))

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

Solution steps

\frac{d}{d t} ((r (t)) (2 sin (t) - e^{- t}))

Apply the Product Rule:

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

f = r (t), g = 2 sin (t) - e^{- t}

= \frac{d}{d t} (r (t)) (2 sin (t) - e^{- t}) + \frac{d}{d t} (2 sin (t) - e^{- t}) r (t)

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

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

(\frac{x}{3} + \frac{y}{6} + z = 1) 6

\frac{9 + 27 s + 3 s ^{3}}{( 9 + s ^{2} ) ^{2}}

\frac{( 0.37 + 2 x ) ^{2}}{( 0.3 - x ) \cdot ( 0.38 - x )}

2 π (2 + ln (1 + 2))

\frac{31.622}{( s + 0.5 ) ( s + 1 ) ^{2}}

What is the d/(dt)(({r}(t))(2sin(t)-e^{-t})) ?
The d/(dt)(({r}(t))(2sin(t)-e^{-t})) is d/(dt)({r}(t))(2sin(t)-e^{-t})+(2cos(t)+e^{-t}){r}(t)
What is the first d/(dt)(({r}(t))(2sin(t)-e^{-t})) ?
The first d/(dt)(({r}(t))(2sin(t)-e^{-t})) is d/(dt)({r}(t))(2sin(t)-e^{-t})+(2cos(t)+e^{-t}){r}(t)