I need solve this questions

Question 1 (20 Points) (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x3 + 27)4. (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the point (8, 1). Question 2 (40 Points) Consider the function f(x) = - x 2 + 1 (a) Find the intercepts of the graph of f (if any). (b) Find the intervals on which f is increasing or decreasing and the local extreme values of f. (c) Find the intervals of concavity and the points of inflection of f. (d) Sketch the graph of f