PLEASE SOLVE THIS WORKSHEET AND PLEASE ONLY DO IT HAND WTITTEN WITH BLUE OR BLACK INK PEN PLEASE, REMEMBER I ONLY WANT IT DONE HAND WRITTEN AND WITH BLUE OR BLACK IN PEN, PLEASE WRITE VERY CLEARLY, THANK YOU.

Show vour work to justify your answers. 1] A certain function f is differentiable and its derivative is it} = 2th:2 +3?! 3 . a] Solve the equation it] = i}. The solutions are: b] list all the Intervals over which the function f is increasing: c} List all the intervals over which the function f is decreasing: d] Find the general antiderlvotlve of gut} = 201:2 +?: - 3 . e} Derive the explicit formula for fix], given that flit} = F225 . for] = f) The function f has a local maximum at a point x = c . Calculate f(c) . g) The function f has a local minimum at a point x = k . Calculate f(k) . h) Calculate the second derivative of f . f"(x) =_ i) Find all the inflection points of f . Justify your answer by making a sign chart for f" . Give both coordinates for each inflection point