For each of the graphs below, use the level curves of the function z = f(x, y) to decide the sign (positive, negative, or zero) of each of the partial derivatives at the point P. Assume the x- and y-axes are in the usual positions. fa(P) i v fy(P) i positive negative fax(P) fyy(P) is ? fay(P) is? zero C 4 fa(P) is ? fy(P) is ? frr(P) is? fyy (P) is ? fry(P) is? û O Ⓒ î ✪
For each of the graphs below, use the level curves of the function z = f(x, y) to decide the sign (positive, negative, or zero) of each of the partial derivatives at the point P. Assume the x- and y-axes are in the usual positions. fa(P) i v fy(P) i positive negative fax(P) fyy(P) is ? fay(P) is? zero C 4 fa(P) is ? fy(P) is ? frr(P) is? fyy (P) is ? fry(P) is? û O Ⓒ î ✪
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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Transcribed Image Text:For
each of the graphs below, use the level curves of the function z = f(x, y) to decide the sign (positive, negative, or zero)
of each of the partial derivatives at the point P. Assume the x- and y-axes are in the usual positions.
fa(P) i
fy(P) i
positive
negative
fax (P)
fyy(P) 1S ?
fay(P) is ?
zero
♥
13
5
fa(P) is ?
fy(P) is ?
fax (P) is ?
fyy(P) is ?
fay(P) is ?
û
✪
û
✪
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