Question: Question 1. Consider the function if (x, y) # (0,0) f (x , y) = r2 ty2 O Otherwise Show (a) that Of/Ox and Of/dy

Question 1. Consider the function if (x, y) # (0,0) f (x , y) = r2 ty2 O Otherwise Show (a) that Of/Ox

t), then fog is differentiable and (f o g)'(0) = 1/2, but

Question 1. Consider the function if (x, y) # (0,0) f (x , y) = r2 ty2 O Otherwise Show (a) that Of/Ox and Of/dy exist at (0, 0) and (b) If g(t) = (t, t), then fog is differentiable and (f o g)'(0) = 1/2, but Vf(0, 0) . g'(0) = 0.Question 3. Determine the second-order Taylor formula for erty at (0, 0)

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