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Unit 5: Analytical Applications of Differentiation

AP Calculus AB — Note Packet

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Key Terms

First Derivative Test

A method to find relative maximums and minimums by checking the sign change of f'(x) around ___ points.

Relative Extrema

The ___ maximum or minimum values of a function within a specific interval, occurring at critical points.

Critical Points

Points where f'(x) = ___ or f'(x) is undefined, potential locations for relative extrema.

Second Derivative Test

An alternative test for relative extrema when f'(c) = 0, using the sign of f''(c) to determine ___.

Concave Up

A function is concave up when f''(x) is ___, resembling a cup holding water.

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