張慶堂 0 發表於 July 27, 2016 檢舉 Share 發表於 July 27, 2016 (2) F(x,y) = x * ln(x*y) = x * [ln(x) + ln(y)] Fy = x * (0 + 1/y) = x / y Fyx = 1/y Fyxy = -1 / y^2 鏈接文章 分享到其他網站
張慶堂 0 發表於 July 27, 2016 檢舉 Share 發表於 July 27, 2016 (1) Slope(2,-1,3) = ? for both x = 2 & z =√(2x2 + 3y2 - 2) F(x,y,z) = √(2x2 + 3y2-2) - z ==> F(2,-1,3) = 3 N = Normal(F) = Graf(F) = (4x/2*3, 6y/2*3, -1) = (4/3, -1 -1) = (4, -3, -3) z = √(8 + 3y2 - 2) = √(6 + 3y2) ==> z' = 6y/(2 * 3) = -1 Set S = slope = (a, 1, -1) ==> N ‧S = 4a -3 + 3 = 4a = 0 ==> a = 0 Slope = (0, 1 , -1) at Point (2,-1,3) 鏈接文章 分享到其他網站
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