4. Consider the following function: 21 x) = x3 +?x2 24x 3 a. Find f'(x} and f"(x). b. Construct a first derivative sign chart to determine the open intervals where x] is increasing or decreasing. 1Write 1your answer in interval notation. Increasing: Decreasing: c. Find all the relative maxima and minima. Write your answer as ordered pairs. MATH 1325 Page 3 of 4 d. Construct a second derivative sign chart to determine the open intervals where f(x) is concave up or concave down. Write your answer in interval notation. Concave Up: Concave Down: e. Find any points of inflection. Write your answer as ordered pairs. f. Make a rough sketch of the graph of f(x). Adjust the scale to fit the function. MATH1325 Page 4 of 4