Problem 1 - Section 4.1 Consider the function f and its rst derivative. :32 mu) = m +2 f'(:v) = 5 $2 a) Find the partition numbers of J\". Show all analytical work for this step. b) Create a sign chart of J\". Show work for plugging in test points. Make the work clear. c) Determine the intervals of increase and decrease of function f. (1) State any points of local extrema, if they exist. Classify them as a local max or local min and provide their location on the graph of f . If you need to approximate, use three decimal places. Problem 2 - Section 4.2 Consider the function f and its second derivative. 2($ 3)(.7; 1) f (w) = 1M2 4m + 5) film 2 (:52 4:1: + 5)2 a) Find the partition numbers of f\". Show all analytical work for this step. You may need to use the quadratic formula. b) Create a sign chart of f\". Show work for plugging in test points. Make the work clear. (3) Determine the intervals on which the graph of f is concave up and concave down. d) State any points of inection. Show work for nding the values. If you need to approximate, use three decimal places