More Difficult Multivariable Chain Rule Problem

In this video, I go over a slightly more difficult multivariable chain rule question that has showed up on past term tests. There's a way of rewriting the standard chain rule that makes it significantly easier to recognize the computation for a part that students commonly find confusing.
drive.google.com/file/d/1exY5...
Entire folder of MAT235 resources: drive.google.com/drive/folder...
Recommended channels for complete content:
/ @professorleonard -- • Calculus 3 Lecture 11....
/ @alexandraniedden5337 -- • Ch 12: Vectors and the... • Ch 13: Vector Functions • Ch 14: Partial Derivat... • Ch 15: Multiple Integrals • Ch 16: Vector Calculus
/ @drtrefor -- • Calculus III: Multivar... • Calculus IV: Vector Ca...
/ @khanacademy -- • Multivariable function...
0:00 Introducing the Question
0:38 Rewriting expression
1:15 Computing ∂z/∂s
3:10 Computing ∂/∂s (∂z/∂x)
10:15 Rest of the Problem
#UofT #MAT235 #multivariablecalculus #chainrule
MAT235 Course Description: Parametric equations and polar coordinates. Vectors, vector functions and space curves. Differential and integral calculus of functions of several variables. Line integrals and surface integrals and classic vector calculus theorems. Examples from life sciences and physical science applications.