討論串[考古] 94成大
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第一題The line y=mx+b is called a slant asymptote of the graph y=f(x). Find all asymptote of the graph of y=ln(1+e^x). 我看了王博的詳解，計算是會算但是不知道為什麼是lim f(x)和.
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依題意: F為x1,x2之函數且 x1=u-v, x2=u+v, v是u的隱函數. 故F最終為u的函數! 圖解示意... F. / \. x1 x2. / \ / \. u v u v. | |. u u. 以下 "@" 表偏微，原po題目打錯，應為 Fi=@F/@xi for i=1,2. x1=
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Let F(x1,x2)be a real-valued function defined on R^2 with partial derivativesFi=dF/dxi for i=1,2 .Suppose that variable v is implicitly defined as a.
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1. ∫ x^1/2(1-x)^1/2dx (set u=(1-x)^1/2 , dx = -2udu). 0. 1 _____. = 2 ∫ √1-u^2 * u^2 du (set u=sinΘ , du=cosΘdΘ). 0. π/2 2 2. = 2 ∫ cos Θsin ΘdΘ. 0. π
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