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Beliebt Rechnen >

d/(dt)(e^{{r}(t)t})

Lösung

\frac{d}{d t} (e^{r (t) t})

Lösung

e^{r (t) t} (t \frac{d}{d t} (r (t)) + r (t))

Schritte zur Lösung

\frac{d}{d t} (e^{r (t) t})

Wende die Kettenregel an:

e^{r (t) t} \frac{d}{d t} (r (t) t)

= e^{r (t) t} \frac{d}{d t} (r (t) t)

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

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

Beliebte Beispiele

fläche-x^2+9x,x^2-5x

a re a - x^{2} + 9 x, x^{2} - 5 x

derivative y=sqrt(3-5x)

d er i v a t i v e y = 3 - 5 x

integral from 4 to 9 of 1/(8-sqrt(x))

\int_{4}^{9} \frac{1}{8 - x} d x

integral of e^{-xt}

\int e^{- x t} d x

derivative of 3ln(x+ln(y))

\frac{d}{d x} (3 ln (x) + ln (y))