A walk-through of the solutions for Exam 2 of Calculus 3 administered in Fall 2024.
For more information: https://www.calc3.org/
Presenter: Steve Butler (https://www.stevebutler.org/)
0:00 Intro
0:47 1-Take a second-order partial derivative
3:36 2-Chain rule
10:25 3-Identify contour map
12:44 4-Find a second-order Taylor polynomial
17:16 5-Find a critical point
20:04 6-Implicit differentiation
26:45 7-Gradient, directional derivative, gradient properties
34:33 8-Tangent plane (=linear approximation) to level surface
42:35 9-Find and classify all critical points (second partials)
53:21 10-Lagrange multipliers