Calculus:

please answer these question

Problem 6. (1 point) Below is the graph of the derivative f' (x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Refer to the graph to answer each of the following questions. For parts (A) and (B), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of x in (0,8) is f() increasing? (If the function is not increasing anywhere, enter None .) Answer: (B) For what values of r in (0,8) is f(c) concave down? (If the function is not concave down anywhere, enter None .) Answer: (C) Find all values of x in (0,8) is where f(I) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter None .) Local Minima: (D) Find all values of a in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter None .) Inflection Points: Note: You can earn partial credit on this problem.Problem 6. (1 point) Below is the graph of the derivative f' (x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. X Refer to the graph to answer each of the following questions. For parts (A) and (B), use interval notation to (A) For what values of r in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None Answer: (B) For what values of c in (0,8) is f(x) concave down? (If the function is not concave down anywhere, ent 1.0 Answer: (C) Find all values of a in (0,8) is where f(x) has a local minimum, and list them (separated by commas) in Local Minima: (D) Find all values of a in (0,8) is where f(x) has an inflection point, and list them (separated by commas) i Inflection Points: Note: You can earn partial credit on this problem.Problem 7. (1 point) Let f(x) = 6(x - 6)2/3 +2. (A) Find all critical values and list them below. Note: If there are no critical values, enter "NONE'. (B) Use interval notation to indicate where f(x) is increasing. Increasing: (C) Use interval notation to indicate where f(I) is decreasing. Decreasing: (D) List the x values of all local maxima of f. If there are no local maxima, enter 'NONE'. I values of local maxima = (E) List the ax values of all local minima of f. If there are no local minima, enter "NONE'. I values of local minima = Note: You can earn partial credit on this