Let us consider the function f(x, y) = x - 3x +y - 3y +11. a) Find the stationary p oints of the function f(x,y) b) Find the local extrema (if they exist) c) Findif they aremaxima or minima d) Find the saddlepoints of f (x,y).
Let us consider the function f(x, y) = x - 3x +y - 3y +11. a) Find the stationary p oints of the function f(x,y) b) Find the local extrema (if they exist) c) Findif they aremaxima or minima d) Find the saddlepoints of f (x,y).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step 1
The stationary points are calculated by solving the equations, together.
The discriminant, D is calculated using the formula, . For any point, , if , then it is an extrema and if , then it is a saddle point.
If and , then the point is a minima and if and , then the point is a maxima.
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