Extrema: Calculus 1 project by Chukwudumebi Okonkwo
Overview
This Project has been completed as part of a standard 10 weeks Calculus 1 face to face course during Summer 2022 semester at MassBay Community College, Wellesley Hills, MA.
Summary
Author: Chukwudumebi Okonkwo
Instructor: Igor V Baryakhtar
Subject: Calculus 1
Course number: MA 200-007
Course type: Face-to-face
Semester: Summer 2022, 10 weeks
College: MassBay Comminity College, MA
Tags: Calculus, Project, Active Learning
Language: English
Media Format: Microsoft Word
License: CC-BY 4.0
All project content created by Chukwudumebi Okonkwo
Content added to OER Commons by Igor V Baryakhtar
Project description
We have a critical point of a function when its derivative is equal to zero, because the line tangent at that point is horizontal. When the graph of the derivative is negative the function is decreasing because the rate of change of the function would be negative; the opposite is true if the graph of the derivative is positive. In my video I wanted to show how we can use the first derivative of a function to find any local extrema of the given function because of what the graph of the derivative can tell us. I created this animated video using a python based program called Manim.
The video gives a visual representation of how this works. It’s one thing to be told that it works, it is another to see how it really works. I hope it was interesting and helped deepen your understanding of calculus.
Sources
Manim Community | Documentation. 2022. Quickstart. [online] Available at: <https://docs.manim.community/en/stable/tutorials/quickstart.html> [Accessed 18 July 2022].
Video