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Lecture 30

MTH 240 Lecture 30: MTH240-sec14.7(2)
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Department
Mathematics
Course
MTH 240
Professor
Jonah Horowitz
Semester
Winter

Description
臥, Fnd-ke local ma, and min and Saddle Points r ナ(x, )-y43x"y _ 6x1-632t 2, ahd ualu LC.yf l) Fad au Critial Painb. 6x(y-2)-。 09'3 33-24 (010),(014) 33(y-y)so y=0 crysy Whenya 3(4)+3x2-12(L) :12+3x2-2-3x?-12=3&zy) 3l2_y)2c-X2-yeo → (X-L)(X+1) = X-2-a,ハ几 (2, 2), (-z) 2) . Crikal Pahh. → (0,0), (ou, (2,2 ) (-2, 2) are adid Pinh e) check all CvchcalPents iwD dkxくづー12x) ,261-12 5,6,»- (3y2+3料2g,261-12 (メツ)- (3y2t3x 2 y )y = 61-12 ( 6V-12X).. 6 SinCe fkx(yo)2-12 <0ヲ(yo)aloed mavPend fay ): (C)3+3(a,-Co ) . C(v)-6(o)tt 2-2 load War (12) (12).[632-My > bu hx (oty) = 12 > oヲ(qy) is \ oCal mix Pod ˋ它ク f(o/4 )= (y)3-+ 3 (d)、(4)-6(0):一6 (4)Lt2 -30 (2,2): Sxx (2J1), $り,(2,2)-[な2,2)] (o) ' (o)-[i2]L-144 くづー 12x ) , 261-12 5,6 , » - ( 3y2 + 3 料 2g , 261-12 ( メツ ) - ( 3y2t3x 2 y ) y = 61-12 ( 6V - 12X ) .. 6 SinCe fkx ( yo ) 2-12 < 0 ヲ ( yo ) aloed mavPend fay ) : ( C ) 3 + 3 ( a , -Co ) . C ( v ) -6 ( o ) tt 2-2 load War ( 12 ) ( 12 ) . [ 632 - My > bu hx ( oty ) = 12 > o ヲ ( qy ) is \ oCal mix Pod ˋ 它ク f ( o / 4 ) = ( y ) 3- + 3 ( d ) 、 ( 4 ) -6 ( 0 ) : 一 6 ( 4 ) Lt2 -30 ( 2,2 ) : Sxx ( 2J1 ) , $ り , ( 2,2 ) - [ な 2,2 ) ] ( o ) ' ( o ) - [ i2 ] L - 144
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