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AP Calculus BC Monday , 07 October 2013. OBJECTIVE TSW identify extrema (absolute and local) of a function on an interval. TESTS are graded. Copy this week’s assignments!!!. Sec. 3.1: Extrema on an Interval. Sec. 3.1: Extrema on an Interval. Sec. 3.1: Extrema on an Interval.
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AP Calculus BCMonday, 07 October 2013 • OBJECTIVETSW identify extrema (absolute and local) of a function on an interval. • TESTS are graded. Copy this week’s assignments!!!
Sec. 3.1: Extrema on an Interval NOTE: "Absolute" is sometimes replaced with "global."
Sec. 3.1: Extrema on an Interval Ex: Find the critical number(s) for the following:
Sec. 3.1: Extrema on an Interval Ex: Find the critical number(s) for the following:
Sec. 3.1: Extrema on an Interval Ex: Find the absolute extrema for 7 −1 0 0 1 −1 2 16 Absolute max: f (x) = 16 at x = 2 (2, 16) Absolute min: f (x) =–1 at x = 1 (1, −1)
Sec. 3.1: Extrema on an Interval Ex: Find the absolute extrema for −5 −1 0 0 1 −1 3 ≈−0.240 Absolute max: f (x) = 0 at x = 0 (0, 0) Absolute min: f (x) =–5 at x = –1 (−1, −5)
Sec. 3.1: Extrema on an Interval Ex: Find the absolute extrema for
Sec. 3.1: Extrema on an Interval Ex: Find the absolute extrema for 0 −1 π/2 3 −3/2 7π/6 3π/2 −1 −3/2 11π/6 2π −1