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Find the critical points of the function
f(x,y)=x^36xy+3y^224x+4
Also classify them in Relative Maxima, Relative Minima and Saddle Points.
 10 months ago
 10 months ago
Find the critical points of the function f(x,y)=x^36xy+3y^224x+4 Also classify them in Relative Maxima, Relative Minima and Saddle Points.
 10 months ago
 10 months ago

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AlHajriBest ResponseYou've already chosen the best response.1
First find the first partial derivatives (fx) and the first partial derivative (fy). fx= 3x^26y24=0 fy=6x+6y=0 From these two equations you find the two critical points which are (2,2) and (4,4) After that you use the second derivative test (D=fxxfyy(fxy)^2) In the case of (2,2) D<0 and so it is a saddle point. In the case (4,4) D>0 and fxx<0 and so it is a minimum point
 10 months ago

alirazamarchalBest ResponseYou've already chosen the best response.0
Thank you very much...
 10 months ago
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