Q 2 a J+y²° (x, y) # (0,0) ; (x, y) = (0,0) Show that the function f(x,y) = is continuous at (0, 0), partial derivatives exist at (0, 0), but it is not differentiable at (0, 0). b Find the stationary points of the function f (x, y) = 2x* – 3x2y + y². Test whether (0, 0) is a point of minima, maxima or saddle point?
Q 2 a J+y²° (x, y) # (0,0) ; (x, y) = (0,0) Show that the function f(x,y) = is continuous at (0, 0), partial derivatives exist at (0, 0), but it is not differentiable at (0, 0). b Find the stationary points of the function f (x, y) = 2x* – 3x2y + y². Test whether (0, 0) is a point of minima, maxima or saddle point?
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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