The Chain Rule.
A composite function uses the output of one function for the input of the other function: f(g(x)).
Trig stuff, and note the use of the SQUEEZE THEOREM at the end
Proof of limit of sin(x) over x
CLASS OCTOBER 14 2009
WE GOT OUR TESTS BACK
THEY WERE SCALED
QUESTIONS THAT WE WENT OVER:
PART 1: 2,4,6,7
QUESTION 2: REMEMBER TO FACTOR OUT AS MUCH AS POSSIBLE-SYNTHETIC DIVISION ON CUBIC. ANSWER B
QUESTION 4, WHAT DOES THIS FUNCTION LOOK LIKE?
ANSWER: C
THE LIMIT OF THE FUNCTION APPROACHING INFINITY IS ZERO, SO THE X AXIS IS THE VERTICAL ASYMPTOTE.
THE DENOMINATOR [...]
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 [...]
Today we started out by discussing test taking techniques:
-Always show exactly how you found an extreme (maxima or minima) by physically setting f’(x)=0
We also began work with slope fields. Slope fields help to determine what the family of curves will look like if the anti-derivative of a differential function is graphed. (f’(x)=2x is the differential [...]
Class of December 15, 2008
1) We handed in the Bonus
2) We started applications of derivatives (see below)
3) We finished and handed in the worksheet we started last class
Derivative Applications
Maximum and minimum points of a graph are where the derivative is zero
Pg. 371 #2
y= 4-x2 from [...]
Page 1 of the notes
Sorry about the lateness of these notes, but the posting thing isn’t working with my account/computer. I am now using Conor’s cumpter. YAYYYYY!!!
Class notes for 11/12
We went over †he curved quiz. See Mrs. Evrard for more personal questions. The multiple choice packet is due on Friday, and the graded hw is due tuesday. On the [...]
Sorry this took so long to get in. My account was messed up for some reason. Good thing I my day didn’t contain any notes. Because it was the last class day of the week, we took a quiz that revolved around continuity. We also started the worksheet on Intermediate Value Theorem (IVT).
Homework: The packet [...]
The post is a word document. Just click on the link to open.
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Today we went over the homework, started looking at continuity, and took a quiz.
We went over the multiple-choice homework, specifically problems 3, 4, and 5 on the multiple-choice homework.
3. Remember that a negative exponent will become positive when it and its base are [...]
