Question: When using gradient descent in practice it is important to choose the correct step size for the problem. Consider that we are trying to minimize

When using gradient descent in practice it is important to choose the correct step size

for the problem. Consider that we are trying to minimize f(x) = (x-1)^2 - 5 w.r.t our decision variable x.

Assume we choose our starting point to be x_0 = 0 and our step size =1, what is x_2? Namely what is our proposed optimal x after running 2 iterations of gradient descent?

Consider that we choose our starting point x_0 = 0 and =0.5, what is x_2? Namely what is our proposed optimal x after running 2 iterations of gradient descent?

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