f x y x 4 y 4 2x 2 4xy 2y 2 Chapter Partial Differentiation Topic Maximum and Minimum Examine the function f x y x 4 y 4 2x 2 4xy 2y 2 for extreme values and find minimum value JNTU
Step by step solution Indefinite integral assuming all variables are real Global minima More digits Download Page POWERED BY THE WOLFRAM LANGUAGE Compute answers Your function can be written as f x y x 2 1 2 y 4 1 and we have x 2 1 2 y 4 1 geq 1 And we can conclude that there is no maximum infty
f x y x 4 y 4 2x 2 4xy 2y 2
f x y x 4 y 4 2x 2 4xy 2y 2
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What Are The Lines Represented By The Following Equations X 2 2xy y 2
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Solved Use Lagrange Multipliers To Find The Maximum And Minimum
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Let f mathbb R 2 rightarrow mathbb R such that f x y x 4 y 4 2 x y 2 Study its extrema So here was my approach Explore math with our beautiful free online graphing calculator Graph functions plot points visualize algebraic equations add sliders animate graphs and more
Solution steps x4 y4 2x2 4xy 2y2 Find where f x y is equal to zero or undefined 0 0 2 2 2 2 Enter your problem Popular Examples Question Consider the function f x y x 4 2y 2 4xy Find all critical points of this function Use the second derivative test to classify each of the critical points maxima local minima or saddle point
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Solve The Following x 2 4xy 2y 2 dx y 2 4xy 2x 2 dy 0
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Solved Non Exact Differential Equation 2 Xy Y2 Y Dx 3x2
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Solve x 3 2y 3 dx 3xy 2dy 0
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Explanation The general equation of a conic is Ax2 Bxy C y2 Dx Ey F 0 And the discriminant is B2 4AC How to solve 937 x2 24x 24y y2 where x and y are integers F x y x 4 y 4 2x 2 4xy 2y 2 Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition
The function f x y x 4 y 4 2x 2 4xy 2y 2 is an equation of a surface in 3 dimensional space It does not have a minimum or maximum at a single point Instead it may have local Free derivative calculator differentiate functions with all the steps Type in any function derivative to get the solution steps and graph
If 2x 3y 5 And 3x 2y 10 Then X Y
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100 X 4 4y 4 210373 X 4 4y 4
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f x y x 4 y 4 2x 2 4xy 2y 2 - For example if we look at the top side of the square where y 2 and 2