Hint and Comment: Be sure to use the Product Rule and Chain Rule when taking derivatives! You will end up with some ir- rational r-values (from using the quadratic equation) along the way. State exact values for your answers! Problem Statement: Using calculus, sketch the graph of /(x] = per a. Clearly show your work/reasoning along the way (using the parts below as a guide). (a) [6 pts] Utilize the first derivative to find all Critical Value(s) of f. Critical Value(s]: (b) [10 pts] Now find the interval(s) where / is Increasing/Decreasing. Then use this information to find and classify the Local Extreme Value(s) of f. Increasing on: Decreasing on:: Local Minimum(s): Local Maximum(s)