Let f(x) = x+ 3x 1.Calculate the derivativef'(x) =________________Calculate the second derivativef''(x) =________________Note intervals are entered in the format (-00,5)U(7,oo) (these are two infinite

Let f(x) = x³+ 3x² – 1.Calculate the derivativef'(x) =________________Calculate the second derivativef''(x) =________________Note intervals are entered in the format (-00,5)U(7,oo) (these are two infinite intervals).On what interval(s) is f increasing?Increasing:_________________On what interval(s) is f decreasing?Decreasing:____________________On what interval(s) is f concave downward?Concave Down:____________________On what interval(s) is f concave upward?Concave Up:____________What is the limit as x approaches infinity?Limit is:______________What is the limit as x approaches negative infinity?Limit is:-__________________-Sketch the graph and submit with your work.