In this problem you will find the relative extrema of a function, the absolute extrema over a closed interval, and the inflection point. Show work. Consider the function f(x) = 2x^3 - 3x^2 - 36x + 2. 1. Find the derivative, f'(x). 2. Find the second derivative, f"(x). 3. Find the critical numbers of f(x) - just the x-values. 4. Use either the First Derivative Test or the Second Derivative Test to determine if these critical values are a relative maximum or relative minimum. 5. Find the corresponding y-values and clearly label the relative maximum point and relative minimum point. 6. Find the absolute maximum point and absolute minimum point of f(x) on the interval [-5, 5]. 7. Find the point of inflection of f(x)