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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. increasing (0,4π),(43π,45π),(47π,2π) decreasing (4π,43π),(45π,47π) (b) Apply the First Derivative Test to identify all relative extrema. relative maxima (x,y)=(4π,217) (smallest x-value) relative minima relative minima (x,y)=(x)=( )
Consider the function on the interval (0,2π). f(x)=2x+sin(x) (a) Find the open intervals on which the function is increasing or de increasing (0,32π)∪(34π,2π) decreasing (32π,34π) (b) Apply the First Derivative Test to identify the relative extrema. relative maximum (x,y)=(x) relative minimum (x,y)=( (c) Use a graphing utility to confirm your results.