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

You should have written it as: [tex]y'(x) = f'(g(x))g'(x)[/tex]. What you have written is not the chain rule.