13 x + 2 Find f' (x) for f(x) = / 14x-5 5. Find the relative maximum/minimum for g(x) = x3 - 3x + 6. (Use the first derivative test) 7. Find the absolute extrema on the given interval for f (x) = x3 + 3x2 - 24x on [0,3] 9. Find the relative extrema of the function if they exist: f (x) = -3x5 + 5x3 . You must use Second Derivative Test to see whether they are a relative maximum or minimum. If you can't use Second Derivative Test then use the First Derivative Test. 12. Susan knows she can sell 440 tacos a day at 50 cents per taco. What price should she charge to maximize her revenue if, for every increase of 10 cents in price, she sells 40 fewer tacos? What will the revenue be? 13. A car dealer expects to sell 1320 cars during the next year. It costs $660 to store one car for one year. To reorder, there is a fixed cost of $225, plus $304 for each car. Find the lot size and the number of orders that should be placed so inventory costs will be minimized.3 x + 2 4 . Find f' (x ) for f(x ) = VAX-5 6. Find the intervals of increasing, decreasing, and constant for f(x) = x3 - 3x2 - 9x + 12 . 8. Determine the concavity of the function (concave up and concave down) and find points of inflection : f (x) = x4 - 4x3. 10. Determine where the given function is increasing and where it is decreasing, where it's concave up and concave down, relative (local) extrema (Use Second Derivative Test), and points of inflection. Also, to complete the graph find the zeros of the function f (x) = 2x4 - 8x3 11. Find the Vertical and Horizontal (Slant) Asymptotes for each function a) f (x ) = - x - 5 b) f ( x ) = 5 x 2x+ 1 c) f (x ) = X- 6x+4 X - 2