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.
