Hello I need some help with these 4 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

For each of the following questions use the equations (find the first derivative and second derivative) , to determine: a. the points of inflection; b. intervals of concavity. The graphs of the first and second derivatives are given so that you can confirm your calculations (ie. the derivative work/equation solving should MATCH the given functions) 3. The graphs of the function h(x) --_x"+2x*+-, its first derivative h', and its second derivative h" are shown. Determine, through calculus techniques, the point(s) of inflection and the interval(s) of concavity. 1. The graphs of the function f(x) = x3 - 6x2 + 9x, its first derivative and its second derivative are shown. Determine, through calculus techniques, the point(s) of inflection and the interval(s) of concavity. The first f(x) and second derivatives f"(x) can be found using the Power Rule (ie. not First Principles). Confirm these calculations using the graphs. Use a sign chart or table to determine/show the intervals of concavity. 4. The graphs of the function p(x) = x4 - 4x3, its first derivative P'; and its second derivative P" are shown. Determine, through calculus techniques, the point(s) of inflection and the interval(s) of concavity. - pix 2. The graphs of the function g(x) = -x3 + 3x2 - 2, its first derivative g'(x) and its second derivative g"(x) are shown. Determine, through calculus techniques, the point(s) of inflection and the interval(s) of concavity