Prof. S. Brick Math 120
Summer ’02 Applied Calculus; Quiz 5 section 11
0. Print your name:
1. Suppose you know for a fact that the derivative of f(x)=3x2
−2xis f0(x)=6x−2.
Find the equation of the tangent line at x= 1.
2. If g(v) is the fuel efficiency in miles per gallon of a car where vis the average speed in
miles per hour, what are the units of g0(v) ? What would be prudent to do if g0(70) <0 ?
3. Suppose P(t) is the price of a stock as a function of time. What does the statement
“The price of the stock is rising but leveling off” say about the sign of P0(t) and P00 (t) ?