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Dr. Mathaholic
Function of Several Variables (14th Chapter of Thomas' Calculus)
10,126 views
13 items
Last updated on Nov 15, 2022
public playlist
Dr. Mathaholic
15:48
Session 1: Find and sketch domain of a function for several variables & how to check using GeoGebra!
Dr. Mathaholic
21:36
Session 2: How to find Level Curves, Imagine Graphs using Level Curves & Finally how to use GeoGebra
Dr. Mathaholic
10:37
Session 3: Function of several variables is bounded/Unbounded/Open/Closed/ both.
Dr. Mathaholic
9:56
Session 4: Examples on how to show limit do NOT exist using different paths (several variables)
Dr. Mathaholic
15:22
Session 5: Geometrical meaning for partial derivatives of a function. Also using GeoGebra.
Dr. Mathaholic
11:34
Session 6: Chain Rule for function of several variable & how branch diagram help to remember formula
Dr. Mathaholic
17:35
Session 7: Formula for Derivatives of implicit functions using Chain Rule( see pinned comment)
Dr. Mathaholic
19:01
Session 8: Notion of Directional derivatives and its properties followed by examples.
Dr. Mathaholic
17:21
Session 9: Hessian matrix to find Local maxima, Local minima, Saddle point of a function.
Dr. Mathaholic
19:17
Session 10: Absolute maxima and minima of a function over closed and bounded domains.
Dr. Mathaholic
25:32
Session 11: Lagrange's Multiplies method to solve constrained optimization problems.
Dr. Mathaholic
3:55
Question on Direction Derivative in GATE 2021 exam
Dr. Mathaholic
4:00
Question on Directional Derivative in GATE 2022 exam