5. Given f (x) = (x -4x-5 ) ; find all critical points for this function. WHW 5 4 6. Consider the function f(x) given below. Find and classify all extreme points for this function over the indicated interval. Find the absolute maximum and absolute minimum values - if they exist. f(x) =x -2x2 +1, over [-2, 3].4. Given f (x) is a polynomial with the first derivative function given below: f'(x) = -5(x-1) (x-2)(x-6)2, (a) Find all critical points of f (x) . Classify them as relative max, relative min or neither - using the first derivative test. Include a sign chart in your work. (b) Write the interval(s) over which the function f (x) is increasing.3. Given f (x) =- 5x2 x-1 (a) Find the first derivative of this function. (b) State the critical points for this function. (c) Classify local extreme points using the first derivative test. Include a sign chart in your work. (d) State the interval(s) over which the function is increasing