[微積] 極值問題兩題

[s23325522 (披著狼皮的羊)]

1.Consider the curve c:x^(2/3)+y^(2/3)=a^(2/3) (0≦x≦a,0≦y≦a) find the
  point P on c so that triangle bounded by the two coordinate awes and
  the tangent line to c at P has maximal area.
        x^2  y^2
2.設橢圓----+----=1的切線與x軸相交於A點,與y軸相交於B點,(a>0,b>0)試求AB線段
        a^2  b^2
  長之極值?

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推 newversion  :第1題，用猜的  (a/2,a/2)
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→ newversion  :(√2 a/4 , √2 a/4)
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