find the derivative of $z = (ln 15)e^{x}$. $\frac{dz}{dx}=$
find the derivative of $z = (ln 15)e^{x}$. $\frac{dz}{dx}=$
Answer
Explanation:
Step1: Recall derivative rule
The derivative of $y = ae^{x}$ is $y'=ae^{x}$, where $a$ is a constant. Here $a = \ln15$.
Step2: Apply the rule
Since $z = (\ln15)e^{x}$, then $\frac{dz}{dx}=(\ln15)e^{x}$.
Answer:
$(\ln15)e^{x}$