Please answer the following questions about the function 4x f(x) = = x - 36 Instructions: If you are asked to find a function, enter a function. If you are asked to find x- or y-values, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use interval notation if you are asked to find an interval or union of intervals, and enter { } if the interval is empty. (a) Calculate the first derivative of f. Find the critical numbers of f, where it is increasing and decreasing, and its local extrema. f'(x) = Critical numbers x = Increasing on the interval Decreasing on the interval Local maxima x = Local minimax = (b) Calculate the second derivative of f. Find where f is concave up, concave down, and has inflection points. "(x) = = Concave up on the interval Concave down on the interval Inflection points x = (c) Find any horizontal and vertical asymptotes of f. Horizontal asymptotes y = Vertical asymptotes x =