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7 let gt at bt for a b e...

Question: 7 let gt at bt for a b e...

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(7) Let g(t) = (at, bt) for a, b E R and f(x, y)J希 if (z, y)メ(0,0) 0,0 a) Show that f has partial derivatives at (0,0) and find (0,0) as well as (0,0). Use these to show that Vf(0, 0) g(00 b) Show that f o g is differentiable and ab? c Explain why the results of a) and b) do not contradict the Chain Rule.

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