I think that f(x,y) is continuous at (0,0) and has partial order derivatives but is also differentiable at (0,0) because curve is smooth,ie- answer is option D ? Am i correct ?
2026-04-07 03:16:42.1775531802
Is f(x) differentiable at (0,0)?
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yes you are correct. Option A definitely not correct. For option B, it supposed to have first order partial derivative. For option C, the first order partial derivative is differentiable at (0,0). So, option D has the best and general answer for the question.