1. Find the critical points of the function f(x, y) = x² + 4xy. 2. Find the local maximum and minimum values and saddle points (if any) of the function - - - f(x, y) = xy — 2x – 2y – x² − y² by - using the second derivatives test

Q: Find the directional derivatives of the convex function f(x) = max{−5x + 3, 2x + 1}.

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Q: Please

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Q: 12. Consider the function f(x, y) = x² + y³ – 6æy (a) Find all critical points of f(x,y). (b) Use…

A: The given function is: f(x,y)=x2+y3-6xy

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A: We have to find as a function of .

Q: Use the Second Derivatives Test to find all the relative extrema and saddle points of f(x, y) = x³y³…

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Q: Q.5 Show that both of the functions f(x)=(x-1)" and g(x)=x' – 3x +3x-2 have stationary points at x =…

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Q: Find y as a function of a if y(0) = 7, y'(0) = 10, "(0) = 36, "(0) = 0. y(x) = 0 y(4) 12y" +36y" =…

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Q: Find y as a function of a if y(0) = 8, y(0) = 4, y"(0) = 134. y(x) = y"8y" -y + 8y = 0,

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Q: Find y as a function of a if y(1)=2, y(1) = 1. y = r²y" + 7xy +9y = 25,

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Q: Find and classify any critical points of the function f(x, y) = -4xy + y² + 5x - 4y + 5.

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