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Connecting First & Second Derivatives

Connecting a function, its first derivative, and its second derivative.

Mapped to AP College Board # FUN-4, FUN-4.A, FUN-4.A.11

A function’s derivative can be used to understand some behaviors of the function. Justify conclusions about the behavior of a function based on the behavior of its derivatives. Key features of the graphs of f, f’, and f” are related to one another.