Unit 3
Intro
The previous unit was all about the mathematical understanding of derivatives and how to calculate derivatives. This unit's focus is all about applying that understanding and calculations of derivatives to specific contexts and applications.
Unit 3 Podcast (coming soon)
3.1 Using Derivatives to Determine Values
3.2 Graphing and Derivatives
3.3 Modeling
3.1 Videos
3.1.1 L'Hospital's Rule
Conceptual Videos
L'Hospital's Rule
Video 1 - https://youtu.be/aH68iV_mwrA
Video 2 - https://youtu.be/W4S2inVRpTc
Example Videos
Video 1 - https://youtu.be/kH65bI50xmw
Video 2 - L'Hospital's Rule (example problem 2)
Video 3 - https://youtu.be/7L2W66JSWK4
3.1.2 Linear Approximation
Conceptual Videos
Example Videos
Video 1 - https://youtu.be/dCxCzLNWZU4
Video 2 - https://youtu.be/Cx3rN5i8buI
3.2 Videos
3.2.1 Increasing/Decreasing Intervals
Conceptual Videos
Example Videos
Increasing and Decreasing Functions and Extrema (example problem 1)
Increasing and Decreasing Functions and Extrema (example problem 2)
Increasing and Decreasing Functions and Extrema (example problem 3)
Increasing and Decreasing Functions and Extrema (example problem 4) - https://youtu.be/MISVgrXEzxs
3.2.2 Concavity and Inflection Points
Conceptual Videos
Example Videos
Concavity and Inflections Points - https://youtu.be/JliehI4MuW4
3.2.3 Mean Value Theorem
Conceptual Videos
Example Videos
Mean Value Theorem Example Problem - https://youtu.be/oFYHvU04pzk
3.3 Videos
3.3.1 Derivative in Context*
Conceptual Videos
Example Videos
3.3.2 Related Rates
Conceptual Videos
Example Videos
3.3.3 Optimization
Conceptual Videos
Example Videos
3.3.4 Straight-Line Motion*
Conceptual Videos
Example Videos