Consider the function 1. Determine its do main of definition (that is, where the function is defined). 2. Determine infinite limits and limits at infinity and identify the vertical and horizontal asymptotes. 3. What is the domain of continuity of f(x) (that is, where the function is con tinuous)? 4. Use both the Chain Rule and the Quotient Rule to determine the first de rivative of f(x).Simplify your answer to the best form. 5. Determine the critical point(s) in the domain of f(x) and their nature (sta tionary point(s) (i.e., points with zero derivative) or singular point(s) (i.e., points of with no derivative)). 6. Based on a sign study of the first derivative, determine the intervals of in crease and decrease of f(x). 7. Use (6) to determine the local extrema of f(x) (point(s) where they occur, their nature, and the value of the function f(x) at those points). 8. Compute the second derivative of f(x). 9. Determine the concavity (intervals of upward and downward concavity) and the points of inflection of f(x). 10. Use the second derivative to confirm the findings in (7)