Please answer these questions

a. Find the local extrema of the function f(x) = sin 2x on the interval 0 s x s it, and say where they occur. b. Graph the function and its derivative together. Comment on the behavior of f in relation to the signs and values of f. Question a. Find each local maxima, if there are any. Select the correct choice below and fill in any answer boxes within your choice. Simplify your answers. Type exact answers, using it as needed. Use integers or fractions for any numbers in the expression.) WA. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f( ) = () -. and .( ) - @ B. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f( ) = |and .() - C. The function has a local maximum at one value of x. The maximum value is f () = O D. There are no local maxima. Textbook Ask My Instructor Print Media - 44.F O Tvoe here to search O Points : 0 01 5 vav . Find the open intervals on which the function shown in the graph is increasing and decreasing. b. Identify the function's local and absolute extreme values, if any, saying where they occur. Ay 20 -60 40 -20 20 40 /60 Question 2 a. On what open interval(s), if any, is the function increasing? Select the correct choice below and fill in any answer boxes within your choice. O A. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The function is never increasing