10-05-09 Notes EH
Binomial Expansion
Example:
Definition of Derivative: f ‘ (x)
Forward Difference (quotient difference)=
Backward Difference=
Symmetric Difference (often used with table)=
At a Point=
Derivative Worksheet:
1.
2.
f’(x)=(-2)
POWER FUNCTION RULE (also on page 92)
Power function continued…
Example 1
Example 2
Calculator:
On the AP exam, a calculator can be used for finding x intercepts, numerical derivatives and numerical integration.
To find the derivative at x=2 when f(x)=x^5:
Plug in x^5 as Y1 –> Math –> Option #8 –>and then plug in nDeriv(Y1,x,2)–> 2nd calc gets a value.
This will get you an answer of 80.00004. Don’t forget that .00004 is a small margin of error.
PROPERTIES OF DIFFERENTIATION (pg 93)
NOTATION OF DERIVATIVE
Derivative with respect to x of function y:
REMINDER:
HW: pg 95- 10 Qs, #1-25 odd
-Challenge problem
-Major Quiz Friday
