Question: Suppose that f: R2 R2 has continuous first-order partial derivatives in some ball Br(x0, y0), r > 0. Prove that if Îf(x0, y0) 0, then

Suppose that f: R2 †’ R2 has continuous first-order partial derivatives in some ball Br(x0, y0), r > 0. Prove that if Δf(x0, y0) ‰  0, then
Suppose that f: R2 †’ R2 has continuous first-order partial

and

Suppose that f: R2 †’ R2 has continuous first-order partial

-afi / ay(x0, yo) afi ay afi/ax(xo. yo) af2

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