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bj Find Second Order Conditions and 1/12 : 2 1 1 Ja, 2 242 2 - (72 ) Note: 11 12 = 71211 cJ Find A = (71,1) ( Tizz) - (71 12)2 Does the function have a relative MAXIMUM or MINIMUM ? Given function f ( x , y ) = 12x2 + 6 xq - 342 (1) Subject to constant X + 9 = 41 ( 2 ) ") Note, Ly = 4-x/ (3). Substitute ean ( 3) into eg'n (1). by New function is h (x). Take first derivative h'( x ) = 0 Salve for X*. Find y* " Take second derivative h"(x). Is there a MINIMUM Or MAXIMUM ? @ f (x , y ) = -x2 - 3y2- 2xy +100* +200g as Calculate first order conditions f1 = of J X 2 Solve the two equations for X1 9 X2 by Find second order conditions 1 1 = att , f22: 22f and fiz ? of (fz ) 2 dxz XI