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MAT 125 Fall 2020 Name Chris Prashad Recitation RO 3 Paper Homework #9 Problem 1 (5 points): Please graph the following function, labelling any maxima, minima, or points of inflection. y=-x'+6x2+63x-100 y = - x3+6x2+ 63x - 100 dy / dx = - 3 x 2 + 12 x+63 2 24/ dx 2 = - 6x +12 dy / dx = - 3 x 2 + 12 x +63 = 0 - 3 x 2 + 12 x+ 63 - 3 ( x 2 + 4 x + 21 ) - 3 ( X + 7) ( X - 3 ) 1 = 0 0 X+1 = 0 X-3=0 X =47 x =-31 - co - 3 Min Intervals : Max ( ( 8 ) - (-00 , - 3 ) = ( -19 ) . ( = 3, 4 ) = Loed Max : (7, 292) ((35) . ( 17 , +00) Loca Min: (-3, -208) (4) . (3 , +20 ) = X - 3( - 8 ) 2 + 12 ( - 8 ) + 63 = + 225 292 - 3(- 1)2 + 12 ( - 1) +63 =48 -3 - 3 (8:)2 + 12(8) +63 =- 33 - 208 - 3(4) ) + 120 #)+63=