See why exponential functions are special. Viewers learn how the derivatives of exponential functions are proportional to their original functions. They see that e^x is a special case where the constant of proportionality is one. 

Sometimes close enough is just perfect. The last video in a series of 11 explores the Taylor series and its connection to derivatives. It shows the process for finding Taylor series approximations for y = sin x and for y = e^x.

I'll do algebra, but graphing is where I draw the line! Video explains how to find the slope of a line when starting with word problems. It includes positive and negative slopes as well as how to identify intercepts.

Expand your knowledge on exponential growth! A concept video features the definition of an exponential function. Eight problem videos cover graphing exponential functions, identifying exponential growth and decay, and applying...

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...

When your biology or ecology class is studying populations, show this video to explain the concept of exponential growth. You could also use it with a math class. A nice addition would be to read the children's book, The Rajah's Rice: A...

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?

Extend pupil understanding of derivatives and tangent lines. The problem presented asks individuals to find the points on a graph that have a tangent line parallel to a given line. The instructor shows how to use the concept of a...

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...

The instructor defines an exponential function as any expression or equation in which an exponent is a variable. She then gives several examples.

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...

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...

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.

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?

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...

In this video lesson students explore exponential growth involving bacteria.

Instructional video explains the different kinds of exponential functions that involve the rate of increase or decrease of something. When it's a rate of decrease, you have an exponential decay function. [6:23]

Compare exponential functions using a graph and assess learning with a quiz.

Identify and compare linear, quadratic, and exponential functions by exploring sets of data. Assess learning with a quiz. [4:27]

Exponential functions are defined and explained in this lesson. A quiz will assess learning.

Explore the relationship between logarithmic and exponential functions. Assess learning with a quiz.

This video tutorial reviews how to recognize exponential behavior in sequences, graphs, and tables. The lesson provides detailed examples.

This lesson describes the general shape of exponential functions. Students learn the concept by watching a video tutorial.

Real world examples are used to show exponential functions in this lesson. Assess learning with a quiz. [2:18]