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Professor Dave Explains
Derivatives of Logarithmic and Exponential Functions
How to take the derivatives of logarithmic and exponential functions.
Professor Dave Explains
Evaluating and Graphing Exponential Functions
An introduction to exponential functions.
Curated Video
Modeling Exponential Decay: Finding the Age of Objects
In this video, the teacher explains how to determine the age of objects using exponential decay. They use the example of carbon-14 dating to demonstrate the concept, showing how the percentage of carbon-14 decreases over time. The video...
Curated Video
Graphing Exponential Growth
In this lesson, students will learn how to graph exponential functions by modeling paper folding. They will explore the concept of exponential growth and understand how the number of layers of paper doubles with each fold.
Curated Video
Graphing Depreciation: Using Exponential Decay Functions
In this lesson, students will learn how to graph the depreciation of an item using an exponential decay function. Using the example of Rama's truck, they will understand how the value of the truck decreases by a certain percentage each...
Curated Video
Understanding Sequences: Functions in Tables and Graphs
In this video, the teacher explains how sequences are alike and different. They discuss arithmetic sequences, where there is a common difference between terms, and geometric sequences, where there is a common ratio between terms.
Curated Video
Exponential Growth and Graphing
In this video, the teacher explains the concept of exponential growth using the example of bacteria multiplying in a Petri dish. The teacher demonstrates how to graph and calculate the number of bacteria using the exponential function F...
Curated Video
Graphing Exponential Functions
This video explains how to graph exponential functions by modeling cutting a string. It demonstrates the concept of exponential decay and shows how the length of the string decreases exponentially with each cut. The video also explains...
Curated Video
Understanding Exponential Growth Functions
In this video lesson, students will learn about exponential growth functions and how they can be represented using factors and intervals. The lesson demonstrates how the base and exponent in an exponential function determine the rate of...
Curated Video
Introduction to Evaluating Logarithms Using Exponentials
In this video, the teacher explains the concept of inverses in functions and focuses on exponential and logarithmic functions. They discuss how the x and y values switch in inverse functions and demonstrate the reflection of graphs over...
Curated OER
How Do You Solve a Word Problem with Exponential Decay?
The instructor first identifies what formula to use to solve this word problem. Then she explains what each of the variables stands for and helps match up their given values in this word problem. There are many components to solving this...
Curated OER
How Do You Evaluate an Exponential Function?
Set up a table to keep track of your values as you evaluate an exponential function. Select some values for the table to plug in to the given exponential expression. Then evaluate the expression. Do you see a pattern?
Curated OER
How Do You Solve a Word Problem Using an Exponential Function?
In six days Tina gets exponentially better at the number of times she can jump rope. Let's create an equation and see how many times Tina can jump rope on the sixth day. First identify the variables. Next make a table, then plug in the...
Curated OER
What's an Exponential Function?
The instructor defines an exponential function as any expression or equation in which an exponent is a variable. She then gives several examples.
Curated OER
What is Exponential Growth?
Exponential functions often involve the rate of increase or decrease of something. When it's a rate of increase, you have an exponential growth function! The instructor discusses exponential function and how to determine if a value makes...
Curated OER
How Do You Determine if a Graph Represents a Linear, Exponential, or Quadratic Function?
What does the graph of a linear equation look like? How about a graph of a quadratic equation? What does a graph of an exponential function look like? Watch this video and see as the instructor illustrates and explains each of these...
Curated OER
How Do You Solve a Word Problem with Exponential Growth?
Does this word problem describe exponential growth? Is something increasing? Is it increasing at a constant rate? How much is it increasing? Use the function formula for exponential growth to figure out this problem.
Curated OER
How Do You Evaluate an Exponential Function?
Set up a table to keep track of your values as you evaluate an exponential function. Select some values for the table to plug in to the given exponential expression. Then evaluate the expression. Do you see a pattern?
Curated OER
How Do You Graph an Exponential Function Using a Table?
One way to get values to be able to graph an exponential function is to make a table. This seems pretty straightforward. Set up a table to plug in random values for x. Then put those values into the equation to get the y-values. These...
Massachusetts Institute of Technology
Mit: Blossoms: The Power of Exponentials, Big and Small
Through this video lesson, students compare exponential growth to polynomial growth and discover how quickly the number can grow or decay in exponentials.
Math TV
Math tv.com: Calculus: Derivatives (Exponential and Logarithmic)
Students learn how to differentiate logarithmic and exponential functions. The learning resource consists of video tutorials with detailed examples. In the left hand menu, click on Calculus, Derivatives, Exponential and Logarithmic.
Sophia Learning
Sophia: Comparing Linear, Quadratic, and Exponential Functions
Linear, quadratic and exponential functions have different graphs, equations, and characteristics. In this tutorial, compare the shape of linear, quadratic, and exponential curves on a graph, and explore how to identify a function as...
Sophia Learning
Sophia: Comparing Linear, Quadratic, and Exponential Functions
Linear, quadratic and exponential functions have different graphs, equations, and characteristics. In this tutorial, compare the shape of linear, quadratic, and exponential curves on a graph, and explore how to identify a function as...
Sophia Learning
Sophia: Algebra I: Compound Interest Practice
Explore how to determine the amount of compound interest earned on an investment. Assess learning with a quiz. [4:56]