Mean Value Theorem
In this video, we cover the first major application of differentiation, the mean value theorem.
Intermediate Value Theorem
Here we consider another theorem of importance: the Intermediate Value Theorem.
Extreme Value Theorem
The Extreme Value Theorem is an important theorem that will provide a basis for the next few videos.
Local v. Absolute Extrema
Here we consider the difference between two types of extrema: local/relative and absolute.
First Derivative Test
In this video, we go over a technique used to find and classify extrema on an interval.
First Derivative Test Example
In this video, we cover an example of finding extrema using the first derivative test.
Second Derivative Test
In this video, we cover another way to classify extrema: the Second Derivative Test.
Example 2 Revisited
Here we revisit the previous example using the second derivative test to verify the classifications made previously.
Related Rates Introduction
In this video, we introduce another application of differentiation: Related Rates.
Related Rates: Shadow Problem
Here we cover another famous related rates problem: the Shadow Problem.
Here we consider a basic application of differentiation: writing equations for tangent lines.