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Consider the function on the interval (0, 2%). f(x) = sm(x) 2 + (cos()())2 (a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing X decreasing (b) Apply the First Derivative Test to identify the relative extrema. relative maximum (x, y) =( ) relative minimum (X, y) =( ) Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = 4x3 6x2 15x + 7 W(S) Discuss the concavity of the graph of the function. (Enter your answers using interval notation.) concave upward concave downward