Calculus 3 Lesson 47: Chain Rule For Multivariable Functions

Aug 28, 2025

Hi there! Today I have released Lesson 47 of my Calculus 3 series. In this lesson we learn about the chain rule for multivariable functions!

In particular you will learn:

  1. How to extend the chain rule for more intermediate variables
  2. How to extend the chain rule for more independent variables
  3. How to draw a derivative tree diagram to help you form chain rule formulas

I hope you enjoy this new lesson for Calculus 3. Next time we will look at implicit partial differentiation!

- Josh

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