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Feb 27 lectureHWK #5 due R 3/8 or F 3/95.3: 36, 42, 50, 686.1: 14, 16, 436.2: 9, 18, 26Spring Break March 17-25Prelim 2: Thursday March 29Relative ExtremaA point c is a relative (or local) maximumfor f if there are values a < c < b so that f(c) ≥f(x) for all a ≤x≤b.-25-20-15-10-5051015-3-2-1012345Critical numbers (p.273)A necessary condition for a point to be a relative or local maximum or minimum is that f′(x0) = 0. These points are called critical values.-8-6-4-202468-2-1.5-1-0.500.511.52ProblemFind the x-value of all points where the function f(x) = x4- 18x2has a local extremum.f(x) = x4- 18x232'( )4364 (9)4 (3)(3)critical points 3,0,3fxxxx xx xx=−=−=−+−-303x+3—|+++x——|++x-3———|+f’—+—+f(x) = x4- 18x2-100-50050100150200-6-3036
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