[微積] 多變數求極值
問題是
Find the maximun and minimum values of the function
f(x,y,z)=x+y+z subject to the given constraints
x^2 - y^2 =z , x^2 +z^2 =4
想法就直接用Lagrange 去解 ,但做起來好複雜
微分完要去解五個變數... 用假設去算也毫無頭緒
可以請問有其他方法,還是就用Lagrange暴力的解出它..
謝謝!!!
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