Consider the function on the interval (0,2 π) . For each function, (a) find the open interval(s) on which the function is increasing or decreasing, (b) apply the First Derivative Test to identify all relative extrema, and (c) use a graphing utility to confirm your results. f(x)=sinx cosx 5 | Numerade

Find the intervals on which the function is increasing or decreasing. (Give your answer as an interval in the form (*,*). Use the symbol ? for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) f is increasing on f is decreasing on

If a function f is increasing on the intervals [-5,5] and [13,21] and decreasing on the interval [5,13], determine the interval(s) on which g(x)=-3f(2x-5) is increasing.The graph g(x)=-3f(2x-5) is increasing on the interval ( , ).(Type your answer in interval notation.)