Q2) (15 points) Consider the following NLP f(x)=2b+1x3+2(b+1)x2+2x6 where 4x2 a) Find all extremum points and determine whether they are maximum and minimum points. Then find the global maximum point. b) Find an extremum point using Newton's method where x0=102a. Use =0.05 for the first order derivative as the stopping criteria but if you perform 3 iterations, then you can stop. PS: a and b are the last two digits of student number