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Chain Rule Measurements: Instructor's Guide

Main Ideas

  • Measuring slope along various directions at a point on the surface
  • Experimentally verifying the chain rule relation: $\frac{\partial f}{\partial r}=\frac{\partial f}{\partial x}\frac{\partial x}{\partial r}+\frac{\partial f}{\partial y}\frac{\partial y}{\partial r}$

Students' Task

Estimated Time: 20 minutes

See handout on activity page.

Prerequisite Knowledge

  • Familiarity with the multivariable chain rule


Activity: Introduction

Activity: Student Conversations

  • Some students may be confused by the (lack of) dimensions of slope

Activity: Wrap-up


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