Exploring the Chain Rule

The derivative of y=f(x) is generally straightforward. The derivative of y=f(g(x)) (Chain rule) involves two primary differences: 1) The transformation of the domain of the derivative of f(g(x)) is the same as the original function, and 2) The magnitude of the derivative is scaled by derivative of the domain change. Varying the slider for k allows students to explore these two changes by observing changes in the graphs of y=sin(k*x) and its derivative.

 

Chris Harrow

 
Resource Type
Activity
Tags
calculus  chain  derivative  rule 
Target Group (Age)
15 – 18
Language
English (United Kingdom)
 
 
GeoGebra version
4.0
Views
3091
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