6. A function f(x, y) has point (1, -3) as a critical point, frx(1, –3) = 5, fyy(1,-3) = 2 and fxy (1, –3) = fyx(1,–3) a) a local minimum b) a local maximum c) a saddle-point d) more work is needed to figure this one out = 1. What kind of point is (1, –3)? e) none of the above

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6. A function f(x, y) has point (1,–3) as a critical point, fxx(1, –3) = 5, fyy(1,–3) = 2 and
fxy(1, –3) = fyx(1,–3) = 1. What kind of point is (1,–3)?
%3D
a) a local minimum
b) a local maximum
c) a saddle-point
d) more work is needed to figure this one out
e) none of the above
Transcribed Image Text:6. A function f(x, y) has point (1,–3) as a critical point, fxx(1, –3) = 5, fyy(1,–3) = 2 and fxy(1, –3) = fyx(1,–3) = 1. What kind of point is (1,–3)? %3D a) a local minimum b) a local maximum c) a saddle-point d) more work is needed to figure this one out e) none of the above
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