Asked by Anonymous
find the highest or Lowest point on the surface z=3x^4+4x^3+6y^4-16y^3+12y^2
Answers
Answered by
Mgraph
Z'x=12x^3+12x^2=0=>x=0 or x=-1
Z'y=24y^3-48y^2+24y=0=>y=0 or y=1
Z(0,0)=0
Z(0,1)=2
Z(-1,0)=-1 <---Lowest
Z(-1,1)=1
Z'y=24y^3-48y^2+24y=0=>y=0 or y=1
Z(0,0)=0
Z(0,1)=2
Z(-1,0)=-1 <---Lowest
Z(-1,1)=1
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