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EXTREMA ON AN INTERVAL (3.1)

November 14th, 2017. EXTREMA ON AN INTERVAL (3.1). I. EXTREMA OF A FUNCTION. Def. of Extrema: Let f be defined on an interval I containing c. 1. f(c) is the minimum of f on I if for all x in I. 2. f(c) is the maximum of f on I if for all x in I.

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AP Calculus AB

AP Calculus AB. Day 1 Section 3.1. Extreme Value Theorem (EVT). If f is continuous for all x in [ a,b ] then f must have both an absolute maximum and an absolute minimum value in the interval [ a,b ]. Examples:. Absolute Maximum. Abs Max. Abs Max. Abs Min. Abs Min.

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EXTREMA ON AN INTERVAL (3.1)

AP Calculus AB