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f(x,y)=x^2-2xy^2+2y^4-2y^2是否有极值,如果有,极值为?
人气:113 ℃ 时间:2020-09-18 12:13:26
解答
f(x,y)=x^2-2xy^2+2y^4-2y^2求一阶偏导:∂f/∂x=2x-2y^2=0∂f/∂y=-4xy+8y^3-4y=0得:x-y^2=0xy-2y^3+y=0再化简:xy-y^3-y^3+y=0y(x-y^2)-y^3+y=00+y(y^2-1)=0y*(y-1)*(y+1)=0解得:y=±1,0x= ...
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