How to Explain the Chain Rule: A Visual, Verbal, and Mathematical Approach

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Homework Help Overview

The discussion revolves around explaining the chain rule in calculus, focusing on how to present it visually, verbally, and mathematically. Participants are exploring the requirements set by the original poster's teacher.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the correct formulation of the chain rule and questioning the original poster's attempt at expressing it. There is a focus on understanding the notation and the components involved in the chain rule.

Discussion Status

The discussion is actively addressing misunderstandings regarding the chain rule. Some participants are providing corrections and clarifications about the proper mathematical expression, while others are seeking to understand the implications of the original poster's statement.

Contextual Notes

There is an emphasis on the need for a graphical representation, a verbal explanation, and a mathematical formulation as specified by the teacher. The original poster's attempt may lack clarity, prompting further inquiry into the correct approach.

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Homework Statement



The question is: How would you explain the chain rule to a classmate?

My teacher wants: 1.a graph, 2. in words, 3. using math

Homework Equations




The Attempt at a Solution



I said: for the function y=f[g(x)], the chain rule is d/dx[g(x)].

Whats the graph like?
 
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What do you mean by d/dx[g(x)]?
 
DERIvative of g(x)...
 
You should have written it as: [tex]y'(x) = f'(g(x))g'(x)[/tex]. What you have written is not the chain rule.
 

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