(1 point) For the function f(x)=e3x+exf(x)=e3x+ex defined on the interval [3,)[3,), find all intervals where the function is increasing and decreasing.ff is increasing on ff is decreasing on (Give your answer as an interval or a list of intervals, e.g.,(-infinity,8] or (1,5),(7,10).)Find and classify all critical points of ff as local maxima and minima. maxima and minima: (Enter your maxima and minima as comma-separated xvalue,classification pairs. For example, if you found that x=2x=2 was a local minimum and x=3x=3 was a local maximum, you should enter (-2,min),(3,max). If there were no maximum, you must drop the parentheses and enter -2,min.)