nth Derivative of e2x
If we differentiate e2x n times nth derivative of e2x is obtained,
1st derivative of e2x = 2 e2x
2nd derivative of e2x = 4 e2x
3rd derivative of e2x = 8 e2x
4th derivative of e2x = 16 e2x and so on.
Thus, nth derivative of e2x is given as,
dn/(dxn) (e2x) = 2n.e2x
Also, Check
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