(20 marks) This question is about local search algorithms [12 marks] Consider the following equation, f(x) : f(x)=x4+1 In order to minimise f(x), you decide to apply the gradient descent algorithm with starting value x=1. Calculate the next three values of x from the gradient descent algorithm if you use a learning rate of =0.1 [4 marks] What problem might you encounter if you increased the learning rate ? Briefly explain your answer. [4 marks] If I decide to re-run the above gradient descent algorithm multiple times with different initial x values, should I expect to see a different final value of x each time? Briefly explain your