How would I go about answering this question?
Let f (x,y) = (xy)/(x+y)
Find a vector u for which Du f (1,1) = 0.
2026-04-11 20:11:45.1775938305
Let f (x,y) = (xy)/(x+y)
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Hint: $D_uf(x,y) = \nabla f(x,y)\cdot \vec{u}$. If this is zero, what does that say about the dot product and what does that say about $\vec{u}$ in relation to the gradient?