$\\frac{d}{dx}(\\ln e^{2x}) = 2$
$\\frac{d}{dx}(\\ln e^{2x}) = 2$
Answer
Explanation:
Step1: Simplify the inner - function
Use the property $\ln e^a=a$. So, $\ln e^{2x}=2x$.
Step2: Differentiate the simplified function
The derivative of $y = 2x$ with respect to $x$ is $\frac{d}{dx}(2x)=2$ according to the power - rule $\frac{d}{dx}(ax)=a$ where $a = 2$.
Answer:
2