

1. 
Find the derivative of the function f(x) = 3x^{5} 


A. 

B. 



C. 

D. 



Hint 


2. 
Find the antiderivative of the function f(x) = 2x^{5}. 


A. 

B. 



C. 

D. 



Hint 


3. 
What is the antiderivative of the function f(x) = x^{2}(x^{2}  1)? 


A. 

B. 



C. 

D. 



Hint 


4. 
Find the antiderivative of f(x) = x^{3}  2x^{2} + 4x  5. 


A. 



B. 



C. 



D. 



Hint 


5. 
Acceleration is the rate at which the velocity of a moving object changes. That is, acceleration is the derivative of velocity. If time is measured in seconds and velocity in feet per second, then acceleration is measured in feet per second squared. If a car's velocity is described by the function , what is the car's acceleration at t = 4? 


A. 
5 ft/s^{2} 
B. 
32 ft/s^{2} 


C. 
37 ft/s^{2} 
D. 
18 ft/s^{2} 


Hint 

