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

The d/(dt)(({r}(t))(2t-2)) is d/(dt)({r}(t))(2t-2)+2{r}(t)

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

The first d/(dt)(({r}(t))(2t-2)) is d/(dt)({r}(t))(2t-2)+2{r}(t)

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\frac{d}{d t} ((r (t)) (2 t - 2))

\frac{d}{d t} (r (t)) (2 t - 2) + 2 r (t)

Solution steps

\frac{d}{d t} ((r (t)) (2 t - 2))

Apply the Product Rule:

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

f = r (t), g = 2 t - 2

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

\frac{d}{d t} (2 t - 2) = 2

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

- (x + 2 (ux))^{2} (x d u + u d x)

(168 - 6 π x) (π x)

30 c m^{2} \cdot (x - 5) e (x + 2)

\frac{( x + 1 )}{x ( x ^{2} + 1 )}

\frac{4 π ( 3 r ^{2} + 3 h r + h ^{2} )}{3}

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