Q 9 B- 6pts Differentiate.

Q5b (4 pts) Find the derivative of the following function:   

Q 12 C – 6pts Find all values of x (if any) where the tangent line to the graph of the function is horizontal.

  Q 10 B – 7pts Solve the problem. is deposited in an account with an interest rate of % per year, compounded monthly. At the end of 5 years, the balance in the account is given by    Find the rate of change of with respect to r when  Round answer to the nearest hundredth, if necessary.

Q14c (10 pts) Solve the problem. If an amount P0   is invested in an account and interest is compounded continuously at 6.2% per year, the balance P grows at the rate is given by     a) Find the function that satisfies the equation and write it in terms of P0 and 0.062. b)Suppose $ 3000 is invested. What is the balance after 2 yr? c) What is the rate of change of the balance after 2 yr?(Give all answers to nearest cents)                                                                                                                                                                                                        

 Q7 C – 8pts An appliance manufacturer has determined that the cost, in dollars, of producing x espresso makers is given by . If the revenue from the sale of x espresso makers is given by  find the rate at which the average profit per espresso maker is changing when 64 espresso makers have been made and sold. Round to the nearest cent.

  Q 9 C – 6pts Differentiate.

Q 13 B – 8pts Solve the problem. A men’s suit manufacturer finds that the cost, in dollars, of producing x suits is given by  Find the rate at which the average cost is changing when 200 suits have been produced. Round the answer to four decimal places.

 Q 8 B – 6pts Find an equation for the line tangent to the graph of the given function at the indicated point. 

  Q4 C – 4pts Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.