Lesson: Increasing and Decreasing Functions and the First Derivative Test

In this video, we dissect what it means to be an increasing or decreasing function and the first derivative test. We also go through one example in great detail. Further examples of how to use the first derivative test and find intervals of increasing/decreasing are discussed in the next video.

Quick References
0:30 the intuition behind increasing and decreasing functions
1:50 corollary defining what it means to be increasing/decreasing from a calculus perspective
3:15 definition of monotonic
3:33 review of the definition of critical point
4:33 explanation of the first derivative test for local extrema
7:12 a fully detailed example of how to find critical points, intervals of increasing or decreasing, and extrema