$\dfrac{d}{dx}{\, (e^{\displaystyle x})} \,=\, e^{\displaystyle x}$

The differentiation of natural exponential function is equal to natural exponential function. It is read as the derivative of $e$ raised to the power of $x$ with respect to $x$ is equal to $e^{\displaystyle x}$.

Assume, $x$ is a variable, then the natural exponential function is written as $e^{\displaystyle x}$ in mathematical form. The derivative of the $e^{\displaystyle x}$ function with respect to $x$ is written in the following mathematical form.

$\dfrac{d}{dx}{\, (e^{\displaystyle x})}$

In differential calculus, the derivative of the $e^{\displaystyle x}$ function with respect to $x$ is also written as $\dfrac{d{\,(e^{\displaystyle x})}}{dx}$ and is also written as ${(e^{\displaystyle x})}’$ in simple mathematical form.

The derivative of the natural exponential function can be written in terms of any variable.

$(1) \,\,\,$ $\dfrac{d}{dq}{\, (e^{\displaystyle q})} \,=\, e^{\displaystyle q}$

$(2) \,\,\,$ $\dfrac{d}{dt}{\, (e^{\displaystyle t})} \,=\, e^{\displaystyle t}$

$(3) \,\,\,$ $\dfrac{d}{dy}{\, (e^{\displaystyle y})} \,=\, e^{\displaystyle y}$

Learn how to derive the differentiation of the natural exponential function from first principle in differential calculus.

Latest Math Topics

Jan 06, 2023

Jan 03, 2023

Jan 01, 2023

Dec 26, 2022

Dec 08, 2022

Latest Math Problems

Nov 25, 2022

Nov 02, 2022

Oct 26, 2022

Oct 24, 2022

Sep 30, 2022

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved