Directional Derivatives | Calculus 3 Lesson 49 - JK Math
How to Find Directional Derivatives (Calculus 3 Lesson 49)
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In this video you will learn about directional derivatives, or finding derivatives in any direction at a point on a surface with the help of unit vectors. First, we develop the limit definition of a directional derivative. Then, we use it to support the quicker shortcut formula that we will actually use for calculating directional derivatives. And finally, we practice finding directional derivatives given different pieces of information that relate to the direction we are interested in.
This video series is designed to help students understand the concepts of Calculus 3 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 3 requires a solid understanding of concepts from calculus 2, calculus 1, precalculus, and algebra. This includes limits, differentiation, advanced integration techniques, applications of derivatives and integrals, polar coordinates, parametric equations, trigonometric functions, logarithms, factoring, equation manipulation, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 What are Directional Derivatives?
18:49 Limit Definition of Directional Derivatives
20:48 Finding the Shortcut Formula
33:08 Directional Derivative Formula
35:57 Example: Using Angle of Direction
42:34 Example: Using a Given Vector
📝 Examples Video: • Directional Derivatives Examples | Calculu...
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Josh from JK Mathematics
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