題組內容
4. Let $f(x, y) = \begin{cases} \frac{xy}{\sqrt{x^2 + y^2}}, & (x, y) \neq (0, 0) \\ 0, & (x, y) = (0, 0) \end{cases}$
(a) \( (7\%) \) Find \( f_{t}(0,0) \) and \( f_{y}(0,0) \).
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4. Let $f(x, y) = \begin{cases} \frac{xy}{\sqrt{x^2 + y^2}}, & (x, y) \neq (0, 0) \\ 0, & (x, y) = (0, 0) \end{cases}$
(a) \( (7\%) \) Find \( f_{t}(0,0) \) and \( f_{y}(0,0) \).