M6-1 Explain how to find the slope of a straight line.
M6-2 Explain how to find the slope of a nonlinear function at a particular point, using limits.
M6-3 What is the procedure for finding the maximum or minimum of a function? How is the second derivative used in this process?
M6-4 What are critical points?
M6-5 Find the derivatives of the following functions.
M6-6 Find the second derivative for each of the functions in Problem M6-5.
M6-7 Find the derivatives of the following functions.
M6-8 Find the second derivative for each of the functions in Problem M6-7.
M6-9 Find the critical point for the function
M6-10 Find the critical points for the function
M6-11 Find the critical point for the function
M6-12 The total revenue function for a particular product is
M6-13 The daily demand function for the AutoBright car washing service has been estimated to be
M6-14 The total revenue function for AutoBright car washing service (see Problem M6-13) is believed to be incorrect due to a changing demand pattern. Based on new information, the demand function is now estimated to be
M6-15 The total cost function for the EOQ model is
In a particular inventory situation, annual demand (D) is 2,000, ordering cost per order
M6-16 Find the second derivative of the total cost function in Problem M6-15, and verify that the value at the critical point is a minimum.