6.9 条件付極値

1.

(a) $\displaystyle{f(1,0) = f(-1,0) = 1 \ {\rm 最小値}, f(0,1) = f(0,-1) = 3 \ {\rm 最大値}}$

=2.6zw =1(b) $\displaystyle{f(2,0) = 0 \ {\rm 最小値}, f(-2,0) = 8 \ {\rm 最大値}}$

(c) $\displaystyle{f(0,-1) = -1 \ {\rm 最小値}, f(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}) = \frac{1}{2} + \sqrt{2} \ {\rm 最大値}}$

2.

$ \displaystyle{\frac{1}{4}}$