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
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Chapter2: Second-order Linear Odes
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Solve 2nd "b" Part.
Q 2 a
ху
: (и, у) # (0,0)
Show that the function f (x, y) = {Vx2+y²
is continuous at (0, 0), partial
; (х, у) %3D (0,0)
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*
a point of minima, maxima or saddle point?
– 3x²y + y². Test whether (0, 0) is
Transcribed Image Text:Q 2 a ху : (и, у) # (0,0) Show that the function f (x, y) = {Vx2+y² is continuous at (0, 0), partial ; (х, у) %3D (0,0) 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* a point of minima, maxima or saddle point? – 3x²y + y². Test whether (0, 0) is
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