•
Finish problems with
Basic Rules in 3.1
•
3.2
Product Rule
For p(x) = f(x)∙ g(x),
the derivative p’(x) is given by:
p’(x) = f(x) ∙ g’(x) + g(x) ∙
f ’(x)
3.2
Quotient Rule
For q(x) = f(x)
g(x), the derivative q’(x) is given by:
q’(x) =
g(x) ∙
f ’(x) – f(x) ∙ g’(x)
[g(x)] 2
Consider the function f(x) = 1/x
2
at the point (4,1/16)
•
Find the slope of the tangent line
•
Find the equation of the tangent line
Real World Applications
•
f(t) = 0.082t3 + 0.019t2 + 2.7t +2.7 where 0<
t<
4 where f(t) is in billions and t
is in years with t = 0 corresponding to 1997.
•
A) Find an expression giving the rate of change of the retail rev/yr
•
B) How fast was retail revenue/year from Internet shopping changing at the
beginning of the year 2000?
•
C) What was the retail revenue/year from Internet shopping at the beginning
of the year 2000?
•
{Give B,C answers as numbers of billions}
•
During the construction of a highrise building, a worker accidentally
dropped his portable electric screwdriver from a height of 576 feet.
After t
seconds, the screwdriver had fallen a distance of s = 16t2 feet.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 VAUGHN
 Calculus, Derivative, Product Rule, Quotient Rule, internet shopping, portable electric screwdriver

Click to edit the document details