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Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find...

Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing Incorrect: Your answer is incorrect. decreasing Incorrect: Your answer is incorrect. (b) Apply the First Derivative Test to identify all relative extrema. relative maxima (x, y) = Incorrect: Your answer is incorrect. (smaller x-value) (x, y) = Incorrect: Your answer is incorrect. (larger x-value) relative minima (x, y) = Incorrect: Your answer is incorrect. (smaller x-value) (x, y) =

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