 
Summary: Math 1550 Fall 2005
Section 31 P. Achar
Extra Credit
Due: October 25, 2005
Suppose f(x) and g(x) are two functions whose derivatives you know. There are various ways to combine
them to get a new function. In class, we have developed various rules that tell us how to find the derivative
of the combined function in terms of f (x) and g (x). For example:
· If you add them, the Sum Rule says
d
dx
(f(x) + g(x)) = f (x) + g (x).
· If you multiply them, the Product Rule tells you that
d
dx
(f(x)g(x)) = f(x)g (x) + g(x)f (x).
· If you divide them, the Quotient Rule tells you that
d
dx
f(x)
g(x)
