In Class practiceThe problems below are meant to give some additional practice with topics we've worked on in class over the last few days.Feel free to work with those around you and ask me any questions.Turn in your solutions and work on a separate piece of paper at the end of class (make sure to put your name on it!)This must be submitted by March 17 th to receive credit.Let f(x)=-x2-1x0.5x3Find all critical points of f(x) on the interval [0.5,3].Find the absolute maximum and minimum of f(x) on the interval 0.5,3.Let f(x)=3x510x3-45x(a) We can compute f'(x)=15(x23)(x1)(x-1). Determine on what interval(s)f(x) is increasing and decreasing.(b) Does f(x) have any local maxima or minima? If so, identify where they occur, and which type of point they are.(c) We can compute f''(x)=60x(x21). Determine on what interval(s)f(x) is concave up and concave down.(d) Does f(x) have any inflection points? If so, identify where they occur.(e) Can you sketch a rough idea of what the graph of f(x) looks like?