Tutorial Exercise Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) = 3x4 – 36x3 + x – 4 Part 1 of 6 We use the ---Select--- Notice that the domain of f is (Enter your answer using interval notation.) First, find the first and second derivatives of f(x) = 3x – 36x3 + x – 4. f'(x) = f" (x) = Submit Skip (you cannot come back)

Find the derivative of the function using the definition of derivative. f(t) = 3.5t + 2t f() = State the domain of the function. (Enter your answer using interval notation.)

The pounds of bananas sold each week at all Metro Seattle Albertsons stores as a function of price, p , in dollars/pound(lb.) is given by q(p) = 100e7.5-1.5p1. Express the Revenue function in terms of p and then find both the first and second derivatives of the revenue function. Type each of these in your text box, using appropriate standard mathematical formatting notation (like that shown above) in Excel. 2. Use Excel over an interval of [0, 6] in increments of .25 to create values for all 3 of your functions from part 1. This is hard! You should be getting the beginning values shown on the next page. Keep at it until you do!! You must create these values by typing in and using the correct formulas. 3. Use Excel to determine exactly where there are any Maximum and/or Minimum values for Revenue. In your text box, explain fully and completely how you determine where to look, and how you know from the First Derivative Test that you have a maximum or a minimum value. 4. Write a…

Write an equation (second degree) satisfied by two functions f and g having the same derivative. Explain graphically the importance of the third terms