※ 引述《ijdi301 (ㄚ豪)》之銘言：
: Find the absolute and relative extrema of the following function
: (a)
: g(x)=-1/8(x+2)^2(x-4)^2 x在[4,10]
: (b)
: h(x,y)=2x+y^2 subject to x+2y=100 x≧0 y≧0
(b) x+2y = 100 => x = 100 - 2y 代入 h(x,y) = 2x + y^2 得
f(y) = 2(100 - 2y) + y^2
= y^2 - 4y + 200 = (y - 2)^2 + 196 ≧ 196
當 y = 2 時 , f(y)有極小值 196
此時 x = 100 - 2y = 96
即當(x,y) = (96 , 2)時 ,
h(x,y) 有極小值 196
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