6. (12 points) Find all local maxima, local minima, and saddle points of the function f(x, y) = 2x3 + 3xy + 2y3.

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Chia Chung

詳解 #6142533

2024/06/24

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1. (10 分) Use Newton's method to find the x-coordinate of the point where the curve y = x² - 2x crosses the horizontal line y = 1. Specifically apply Newton's method with the starting value x0 = 1 to get the first approximation x₁ = ? and then the second approximation x₂ = ? and omit all the other approximations xₙ, n ＞ 2.

6. (12 points) Find all local maxima, local minima, and saddle points of the function f(x, y) = 2x³+ 3xy + 2y³.

詳解 (共 1 筆)

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