Proof - The Derivative of f(x) = e^x: d/dx[e^x]=e^x (Limit Definition)

Why is the derivative of e^x equal to e^x?

Proof of the derivative of e^x: A Step-by-Step Proof and Explanation

Derivative of e^x Proof (By Series Expansion & Limit Definition)

Definition of the Derivative

Ex 1: Determine a Derivative using The Limit Definition

Derivative of Exponential Function (e^x) From First Principles

Ex 3: Determine a Derivative using The Limit Definition

Derivatives using limit definition - Practice problems!

Ex: Determine the Derivative of a Function Using the Limit Definition (ax^2+bx+c)

What's so special about Euler's number e? | Chapter 5, Essence of calculus

Limit Definition of Derivative Square Root, Fractions, 1/sqrt(x), Examples - Calculus

Ex 2: Determine a Derivative using The Limit Definition

Proof of the Derivative of e^x ( Definition of Derivative)

Limit Definition Derivative Ex - How to understand the derivative for beginning students of Calculus

Proof: Derivative of e^x is e^x

Ex : Determine The Value of a Derivative using the Limit Definition (Rational)

Use the limit definition of derivative: Constant Function and Exponential Function

Find derivative using limit definition of derivative

Ex: Limit Definition - Find Delta Values, Given Epsilon For a Limit