Intermediate Value Theorem
If f(1)=-4 and f(6)=9, then there must be a x-value
between 1 and 6 where f crosses the x-axis.
Average Rate of Change
Slope of secant line between two points, use to estima
Tabular Integration by Parts
David Horowitz, Golden West College, Huntington Beach, CA 92647 The College Mathematics Journal, September 1990, Volume 21, Number 4, pp. 307311. Only a few contemporary c
Common Derivatives and Integrals
Derivatives
Basic Properties/Formulas/Rules d ( cf ( x ) ) = cf ( x ) , c is any constant. ( f ( x ) g ( x ) ) = f ( x ) g ( x ) dx dn d ( c ) = 0 , c is any constant.
Curve Packet for Chapter 3
Part A
dy
for the following using the limit definition of derivative. Show all work.
dx
2
2
2
1. y x 1
2. y x
3. y x 3
4. y 3x
Find
6.
y x
7.
yx
3
8.
y x 1
3
9.
y
5.
x 1
10.