What is Derivative in Math?
Derivative of a function is the rate of change of the function to any independent variable. The derivative of a function f(x) is denoted as f′(x) or (d/dx)[f(x)]. The differentiation of an exponential function is called a derivative of the exponential function or exponential derivatives.
Derivative of e^2x
Derivative of e2x is 2e2x. Derivative of e2x refers to the process of finding the change in the exponential function e2x with respect to the independent variable x. e2x is an exponential functions that are power functions with the base of Euler’s Number.
In this article, we will learn in detail about the derivative of e to the power 2x, its formula, proof and examples based on it.
In this article, we will learn about the derivative of e2x and its formula including the proof of the formula using the first principle of derivatives, product rule, and chain rule in detail.
Table of Content
- What is Derivative in Math?
- What is Derivative of e2x?
- Proof of Derivative of e2x
- Derivative of e2x by Logarithmic Differentiation
- nth Derivative of e2x