Find the Derivative - d/dP Pe^(rt)

$P e^{r t}$

Step 1

Since $e^{r t}$ is constant with respect to $P$ , the derivative of $P e^{r t}$ with respect to $P$ is $e^{r t} \frac{d}{d P} [P]$ .

$e^{r t} \frac{d}{d P} [P]$

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d P} [P^{n}]$ is $n P^{n - 1}$ where $n = 1$ .

$e^{r t} \cdot 1$

Step 3

Multiply $e^{r t}$ by $1$ .

$e^{r t}$