What is the derivative of e^{rt} ?

The derivative of e^{rt} is e^{rt}r

What is the first derivative of e^{rt} ?

The first derivative of e^{rt} is e^{rt}r

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derivative of

e^{r t}

e^{r t} r

Solution steps

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

Apply the chain rule:

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

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

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

= e^{r t} r

\int_{- π}^{π} sin^{3} (x) d x

x \to 0 + lim (x ln (tan (3 x)))

- \frac{19}{( 2 x - 5 ) ^{2}}

x \to - 26.8 lim (- 26.8)

\frac{4}{x + 2}, 0

What is the derivative of e^{rt} ?
The derivative of e^{rt} is e^{rt}r
What is the first derivative of e^{rt} ?
The first derivative of e^{rt} is e^{rt}r