This Calculus 3 video explains partial derivatives and the process of partial differentiation. We describe the difference between partial differentiation vs differentiation (ordinary derivatives vs partial derivatives), and how to visualize the partial derivative with respect to x or y. Partial derivative notation is also explained. We work several examples of partial derivatives of functions of two or three variables. We also cover second partial derivatives, and discuss the equality of mixed second partial derivatives. 0:00 Visualizing partial derivatives 1:37 Partial derivative notation 2:56 Example 1 - 1st partial derivatives 6:49 Example 2 - 1st partial derivatives 8:49 Example 3 - 1st partial derivatives 11:28 Intro to second partial derivatives 12:35 Example 4 - 2nd partial derivatives 18:23 Equality of mixed partial 2nd derivatives 20:03 Example 5 - Function of 3 variables (1st derivatives) Houston Math Prep Calculus 3 Playlist: https://www.youtube.com/playlist?list=PLbYOkEbzW902s-ZkG8p8gFpiQa_iEM0M8

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