Partial derivatives

I've decided to release some selected (previously unlisted) lecture videos from my calculus classes to the public. I don't plan on doing this for many videos. The main reason I'm doing this is to see how well these lecture videos appear on my cell phone, and to see how many views I get and where the videos show up in search results. In this video, several examples illustrating partial derivatives are discussed. I use CalcPlot3D to visualize the partials as the slopes of tangent lines to curves on the graph. Thumbnail image created using CalcPlot3D: https://www.monroecc.edu/faculty/paul... 0:01 Introduction -- volume of a cone 12:15 Definitions and notations 18:10 How to calculate partial derivatives 20:22 Example 1 -- sqrt(4 - x^2 + 3y^2) at (0, -1) 31:16 Example 2 -- 7xy/e^(x^2 + y^2) at (1, 1) 36:30 Example 3 -- x^3*e^(-y) at (2, 2) 40:05 Example 4 -- x*cos(pi*(x - y)) at (0, 1) 45:19 Example 5 -- ln(x^2 + y) at (-1, 1) 48:08 Example -- calculating first partials of a function of 3 variables 50:42 Example -- finding parametric equations for the tangent line to an ellipsoid #PartialDerivative #CalcPlot3D #MultivariableCalculus