MATH 100 Lecture Notes - Lecture 10: Minimax, Maxima And Minima

• School: UBC
• Department: Mathematics
• Course: MATH 100
• Professor: Dragos Ghioca

Document Summary

Global minimum and maximum and local minimum and maximum. 2,1 , 4,7 , 6,3 , 8,9 ) 3,5 , 4,10 , 7,1 , (9,9) max = 10 is attained at x = 4 min = 1, = 7 ( min) Max/ min . max/ min = , \ = , max min [, ] max/ min [, ] Max/ min \ = 0 \ 2 min & . \ = 3j 6 = 0 3 2 = 0. 3 2j + 5 = 8 12 + 5 = 1 min = 1, = 2. = 2, max/ min = n p n 8 + q n 1 = o. 8 [ 1,6] rst n n = 0 tp. = 0 rsts?t rsut n = tp n tp u(jst) n tp. 8 1 = 1 9 = 9. First derivative test (graph a x2 graph with local max at x=6)