Re: [微分] 2題求救...
※ 引述《victor7935 (victor)》之銘言：
2.
Show that the sum of the x- and y-intercepts of
any line tangent to the graph of
(1/2) (1/2) (1/2)
x + y = c
is constant and equal to c.
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※ 編輯: victor7935 來自: 140.123.221.147 (10/31 02:32)
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1/2√x + y'/2√y = 0
y' = -√(y/x)
設x=a y=b滿足方程式
√a + √b = √c
y-b = -√(b/a) (x-a)
x截距 a+√ab
y截距 b+√ab
x截距 + y截距 = a + b + 2√ab = (√a + √b)^2 = c const
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