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

解答

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

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

求解步骤

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

使用连锁律:

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))

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

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

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

\int e^{- x t} d x

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