In this article, we will find the derivative of e \to the power 2x using the first principle. Recall that for a function f(x) in one variable x, the derivative of f(x) from first principle is given by the limit below:
So the derivative of e^2x at x=0 by the first principle is equal \to 2.
Question 2: Find the derivative of e^2.
Note that $e^2$ is a constant number as the number e is so. We know that the derivative of a constant is zero (For a proof of this fact, click the page on Derivative of a constant is 0). So we conclude that the derivative of e square is zero.