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13 Nov 2019
Determine all critical points for the function. 14) y = 4x2-128-1x A)x=0and x = 4 c) x = 0, x = 4, and x =-4 B)x=4 D) x =0
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Deanna Hettinger
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1. Find the partial derivatives, f,(x, y) and f,(x,y), if f(x,y)-ye" 2. For h(x,y) = ln(x2 + y2), find h(3, 4). 3, Find the second-order partials,å·¦, ,å·¦,and f," if f(x,y)-4x2-3xy2 +y. 4. Find the critical points (if any) of f(x,y)--5r +4xy-y' +16x +10.
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1. Find the partial derivatives, f,(x, y) and f,(x,y), if f(x,y)-ye" 2. For h(x,y) = ln(x2 + y2), find h(3, 4). 3, Find the second-order partials,å·¦, ,å·¦,and f," if f(x,y)-4x2-3xy2 +y. 4. Find the critical points (if any) of f(x,y)--5r +4xy-y' +16x +10.
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5. (10 points) Use Lagrange Multipliers to find the maximum and minimum values of the function f(x) = x + 3y subject to the constraint x2 + y2 = 10 6(7 points each) For the function f(x,y) = 4x2-x2y2 +y2 + 3 a) b) c) Find all critical points of f(x,y) Calculate the function D(x, y) Use D(x, y) to find any local maximum, local minimum and saddle points.
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