In this video, we cover the first major application of differentiation, the mean value theorem.

In this video, we cover a special case of the mean value theorem: Rolle's Theorem.

Here we consider another theorem of importance: the Intermediate Value Theorem.

The Extreme Value Theorem is an important theorem that will provide a basis for the next few videos.

Here we consider the difference between two types of extrema: local/relative and absolute.

In this video, we go over a technique used to find and classify extrema on an interval.

In this video, we cover an example of finding extrema using the first derivative test.

In this video, we cover another way to classify extrema: the Second Derivative Test.

In this video, we cover an example involving extrema and inflection points.

Here we cover another example involving extrema.

Here we revisit the previous example using the second derivative test to verify the classifications made previously.

In this video, we introduce another application of differentiation: Related Rates.

In this video, we cover an example involving related rates.

Here we cover a famous problem in related rates: the Ladder 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.

Slope fields are a minor application of differentiation but will become important later in this course.