3Blue1Brown
Euler's formula with introductory group theory
Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.
3Blue1Brown
What's so special about Euler's number e? Essence of Calculus - Part 5 of 11
What is the derivative of a^x? Why is e^x its own derivative? This video shows how to think about the rule for differentiating exponential functions.
3Blue1Brown
Derivatives of exponentials | Chapter 5, Essence of calculus
What is the derivative of a^x? Why is e^x its own derivative? This video shows how to think about the rule for differentiating exponential functions.
3Blue1Brown
Euler's formula with introductory group theory - Part 1 of 4
Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.
3Blue1Brown
What's so special about Euler's number e? | Essence of calculus, chapter 5
What is the derivative of a^x? Why is e^x its own derivative? This video shows how to think about the rule for differentiating exponential functions.
Curated Video
Interpret Features of Functions
This video will review how to interpret the different features of linear, quadratic, and exponential functions.
Curated Video
Types of Relationships in Scatter Plots
In this video lesson, the teacher explains scatter plots and how they are used to show the relationship between two sets of data. They cover different types of relationships, including linear and nonlinear, and how to interpret the data...
Curated Video
Understanding Geometric Sequences and Exponential Functions
This video explains the concept of geometric sequences and their relationship to exponential functions. It covers the explicit rule for geometric sequences, how to find specific terms in the sequence, and how to graph the sequence on a...
Curated Video
Describing the End Behavior of Polynomial and Exponential Functions
In this lesson, students will learn how to describe the end behavior of polynomial and exponential functions. They will understand that for polynomial functions, the end behavior is determined by the leading term, while for exponential...
Curated Video
Distinguishing Linear and Exponential Functions Using Function Tables
This video explains how to distinguish between linear and exponential functions by examining function tables. Learn how to identify the patterns in the output values and explain the difference between equal differences in linear...
Brian McLogan
Taking the derivative of exponential function with product rule
👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Catalyst University
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Catalyst University
Particle-on-a-Ring Example #1: Calculate Electron Probability
Particle-on-a-Ring Example #1: Calculate Electron Probability
Brian McLogan
Write the equation of the tangent line with exponential
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Curated Video
Distinguishing Between Linear and Exponential Models
In this video, the teacher explains the difference between linear and exponential functions using examples and graphs. They demonstrate how to identify equal differences in a linear function and equal factors in an exponential function....
Curated Video
Exponential Functions: Growth, Decay, and Graphing
This video provides an explanation of exponential functions, focusing on the form y = A to the power of X, where A is a constant and X is the variable. The video explains the concepts of exponential growth and decay with real-world...
Curated Video
Comparing Polynomial and Exponential Growth: Tables and Graphs
In this lesson, we observe that as X approaches infinity, both polynomial and exponential functions approach infinity. However, through examples and graphs, we discover that exponential functions eventually surpass polynomial functions...
Curated Video
Naming Ordered Pairs in Exponential Functions
In this lesson, students will learn how to identify an ordered pair belonging to the same exponential function as two given ordered pairs. By understanding that exponential functions grow by equal factors on equal intervals, students can...
Brian McLogan
Learn to take the second derivative of exponential chain rule
👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
What is exponential and logarithmic form
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Programming Electronics Academy
3 Ways to Use Acceleration in an Arduino Sketch
This tutorial covers three easy ways to implement some form of acceleration in your Arduino sketches. It will cover the following: Linear Acceleration Exponential Acceleration Messing Around with the Square root function