 
Summary: Math 1441 Fall 2006
Sections 1 and 2 P. Achar
Exam 1 Solutions
September 12, 2006
Total points: 100 Time limit: 80 minutes
No calculators, books, notes, or other aids are permitted. You must show your work and justify your
steps to receive full credit.
1. (4 points each) Short answer:
(a) What is the meaning of the derivative of a function? (Specifically, what information does it give
you about the graph of the function?)
Solution: It gives you the slopes of tangent lines to the graph of the function.
(b) State the quotient rule.
Solution:
d
dx
f(x)
g(x)
=
g(x)f (x)  f(x)g (x)
g(x)2
