Consider the function on the interval (0, 2\pi). Use a graphing utility to confirm your answers for parts (a) and (b).
f(x) = \sin(x)\cos(x) + 8
(a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)
increasing
(0,2\pi)
decreasing
DNE
(b) Apply the First Derivative Test to identify all relative extrema.
relative maxima (smaller x-value) (x, y) = DNE
relative maxima (larger x-value) (x, y) = DNE
relative minima (smaller x-value) (x, y) = DNE
relative minima (larger x-value) (x, y) = DNE