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

# Justification using second derivative

AP.CALC:

FUN‑4 (EU)

, FUN‑4.A (LO)

, FUN‑4.A.10 (EK)

, FUN‑4.A.11 (EK)

"Calculus-based reasoning" with the second derivative of a function can be used to justify claims about the concavity of the original function and about its inflection points.

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