Can you please help me to solve this exercise:

Let f a function that satisfies:

- f is class C2 and strictly convex (f'' (x) > 0).

- There is x*, f' (x*) = 0.

Question is: prove that the minimum of f is reached in x* and it's unique? Using the descent gradient method (build a sequence (Xn)/ Xn+1 = Xn - γ f′(Xn)).

Thanks.