Second Derivative Test | Calculus Lesson 25 - JK Math
Автор: JK Math
Загружено: 2022-02-23
Просмотров: 1477
Описание:
How to Use the Second Derivative Test (Calculus Lesson 25)
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In this lesson we learn about how to perform the second derivative test. We look at the step-by-step process of using the second derivative test to help us determine where relative extrema (relative minimums and maximums) are located on functions. Then we practice using the test with various example problems. We even see where the second derivative test fails and discuss how we deal with this, by reverting back to the first derivative test.
This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!
Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 The Second Derivative & Relative Extrema
3:06 The Second Derivative Test (Formal Definition)
4:12 Example Where Test Works - f(x) = x^3-3x^2+1
9:16 Example Where Test Fails - f(x) = x^3-6x^2+12x+3
📝 Examples Video: • Second Derivative Test Examples | Calculus...
⏩ Next Lesson: • Curve Sketching | Calculus Lesson 26 - JK ...
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#calculus
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