Mathematical Applications for Management, Life, and Social Sciences
MAS 110

Fall 2012
1
MAS110
Zohar
CHAPTER 9 NOTES
Section 9.3
Average and Instantaneous Rates of Change: The Derivative
In Section 1.6 we introduced the concept of a marginal, which was defined as the rate of
change of a (profit, revenue or cost) function with respect to th
Mathematical Applications for Management, Life, and Social Sciences
MAS 110

Fall 2012
1
MAS110 Zohar
CHAPTER 10 NOTES
Section 10.1
Relative Maxima and Minima: Curve Sketching
Definition: Given the function y = f (x), the point ( x1 , f ( x1 ) is called a relative maximum point
for the function f if the y value f (x1) is the largest near th
Mathematical Applications for Management, Life, and Social Sciences
MAS 110

Fall 2012
1
MAS110  Zohar
CHAPTER 11 NOTES
Section 11.1
Derivatives of Logarithmic Functions
Recall: For a > 0, a 1, the logarithm with base a, is written y = log a x , and is
defined by a y = x . Also, the logarithm with base e is written lnx.
We will not prove t