C2_Quiz_Partial_Derivatives_and_Gradient Descent_Q4

Hi, Can anyone please give me a hint to solve this? Thank you!

You need to apply the gradient, and find where the resultant vector is zero and thus find the minimum.

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  1. try to get the ∂f/∂x and ∂f/∂y
  2. get the (x, y) when ∂f/∂x = 0, ∂f/∂y = 0
  3. use the x and y back to the f(x,y), calculate the value of f(x,y)
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i got minimum value as 5 with x =3 , y = 1 , but in Quiz the option are 15, 3, 1. Any suggestion.