# Exploring the Chain Rule (advanced with ceiling & floor)

This construction shows graphs of y=sin(x^k) and its derivative with the ceiling and floor functions of the derivative.
When k=1, as in the initial setup, you see the familiar (sinx)'=cosx.
Explore the relationship between sin(x^k) and its derivative by varying k.
Conjecture a formula for the derivative of sin(x^k).

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