※ 引述《TACO0526 (我很好)》之铭言： : 到仿间书局找过了，找不到答案 : 所以把题目po上来，麻烦大家帮我解题 : 如果有能力一次解下面10题者，可来信报价钱 : (会先提供一些有解答的题目，做测试，看是否确实有能力) : 或者有95高大详解者，也可直接来信报价 : ∞ : 1.∫ (1/x)dx : 1 : 1 : 2.∫ (1/x^3)dx : -1 : ∞ : 3.∫ (1/x^2)dx : 1 : 4.Find the partial derivatives forthe following function. : (a)f(u，v)=(3u-2v)/(u^2+3v) (3)(u^2 + 3v) - (2u)(3u - 2v) fu = ------------------------------- (u^2 + 3v)^2 (-3)(u^2) + 4uv + 9v = ---------------------- (u^2 + 3v)^2 (-2)(u^2 + 3v) - (3)(3u - 2v) fv = ------------------------------- (u^2 + 3v)^2 (-2)(u^2) - 9u = ---------------- (u^2 + 3v)^2 : (b)g(x，y)=(x+2)^2(y+3)^3 gx = (2)(x+2)((y+3)^3) gy = ((x+2)^2)((3)((y+2)^2)) = (3)((x+2)^2)((y+2)^2) : 5.Find the total derivative of the following function. : (a)y=f(x，w)，where x=g(w) : (b)y=f(c，s)，where s=g(c) : (c)y=f(x1，x2，w)，where x1=g(w) and x2=h(w) : (d)y=f(K，L，u，v)，where K=g(u，v) and L=h(u，v) : 6.Find the derivative of the following function. : (a)t^3*lnt^2 : (b)x^a*e^kx-c : 7.Find dz and dz^2 of the following function. : (a)z=f(x，y) : (b)z=f(x，y，w) : 8.Check z=x^2+y^2 for convexity or concavity by the derivative conditions. : 9.Finf the extremes value(s) of z=2x^2+xy+4y^2+xw+w^2+2. : 10.Using the Lagrange-multiplier method and find the extremum of z=x^2+y^2 : subject to x+4y=2. --

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