How to Solve Partial Derivatives

Learn about partial derivatives in this comprehensive 35-minute video tutorial. Explore the concept of partial derivatives for multivariable functions, understanding their similarities to regular derivatives from Calculus 1. Discover how to calculate partial derivatives, including first-order and second-order derivatives, as well as mixed partials. Understand the notation used for partial derivatives, both subscription and Leibniz notations. Follow along with step-by-step examples to solve partial derivatives and find their values at specific points. Gain insights into why mixed second-order partials are always equal and how many partial derivatives you'll encounter for different types of functions.

Syllabus

// What is a derivative and how do you find the derivative at a point?.
// What are partial derivatives?.
// How many partial derivatives will you have?.
// How to find partial derivatives?.
// How to read partial derivatives, and what is the partial derivative symbol called?.
// What are first-order partial derivatives, and what are second-order partial derivatives?.
// How to write second-order partial derivatives?.
// How many second-order partial derivatives will you have?.
// What are mixed partial derivatives?.
// Why are the mixed partial derivatives equal?.
// An example of how to solve for all the partial derivatives.
// How to find the value of the partial derivatives at a particular point.