If f(x, y) = { (x/|x|)√(x²+y²), x ≠ 0; 0, x = 0 }, then fₓ(0,0) + fᵧ(0,0) is…

PYQ UPPSC LT Grade (Assistant Teacher) 2025

If f(x, y) = { (x/|x|)√(x²+y²), x ≠ 0; 0, x = 0 }, then fₓ(0,0) + fᵧ(0,0) is equal to:

  1. A.

    2

  2. B.

    1

  3. C.

    0

  4. D.

    −1

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