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102年 - 102 淡江大學 轉學考 微積分#53701
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題組內容
4. (20%)Find the relative extrema of
(b) f(x,y)=x
4
-y
4
-4xy +1
其他申論題
(i)f(x)=xx+1
#197520
2.( 10%)Use definition to find the derivative of f (x) = x2 + 4y√x .
#197521
3.(10%) Find the slope of the curve y4 +x4 -2x2y2 = 9, at the point (2, 1).
#197522
(a) f(x) = x4 +8x3 +18x2 -8
#197523
5. (10%)Maximize and minimize f (x,y) = 4xy subject to the constrain x2 +y2 =50
#197525
【已刪除】(a)
#197526
【已刪除】(b)
#197527
【已刪除】(a)
#197528
【已刪除】(b)
#197529
8. (8%) Find the area between the curves y = 12-3x2 and y=4x + 5 from x=0 to x=3.
#197530