Parametric Derivatives | Calculus 2 Lesson 39 - JK Math

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How to Find Parametric Derivatives For Parametric Equations (Calculus 2 Lesson 39)

In this video we learn about how to find parametric derivatives for plane curves/ parametric curves. We discuss how a parametric derivative represents the slope for a plane curve and how to find it for a particular set of parametric equations. We also look at how to find the second parametric derivative and other higher-order derivatives for parametric equations.

This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 Finding The Form of Parametric Derivatives
5:24 Form of Parametric Derivatives
5:56 Example - x=t^2, y=t-1
8:01 Example - x=sin(t), y=cos(t)
9:42 Finding The Second & Third Derivatives
15:20 Form of Second & Third Parametric Derivatives
16:00 Example Part 1 - First Derivative, x=t^2-2, y=2t^3
18:08 Example Part 2 - Second Derivative, x=t^2-2, y=2t^3
19:00 Example Part 3 - Third Derivative, x=t^2-2, y=2t^3
21:53 Outro

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