求最大最小值

[zxc321 (堅持到底 )]

1. For f(x,y) = x^3-6x^2-3y^2, (x,y)屬於[-1,1]*[-1,1].

   Find the absolute maxiumum and absolute minimum values of f

   and where they occur.


2.(a) Let P(t,x) =    1
                   _______  e^[(x^2)/(2t)] ,show that

                   √(2πt)

      δP/δt = (1/2)*(δ^2 P/δx^2).

  (b) Suppose that f and g are function of x and y such that

              δf/δx = δg/δy  and δf/δy = δg/δx

      and suppose δf/δx = 0 , f(1,2) = g(1,2) = 8, f(0,0) = 4

      Find f(x,y) and g(x,y)





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◆ From: 59.127.194.112
※ 編輯: zxc321          來自: 59.127.194.112       (03/27 01:21)
推 yyc2008:δf/δx = δg/δy and δg/δy = δf/δx
→ yyc2008:條件有差嗎?
                抱歉  題目打錯了  謝謝指正
※ 編輯: zxc321          來自: 59.127.194.112       (03/27 13:14)
推 yuyumagic424:　∂
※ zxc321:轉錄至看板 Math                                          03/27 15:01