derivative styles uv v/v u to the nth

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Evaluating Numerical Expressions - PEMDAS

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P E MD AS (Please Excuse My Dear Aunt Sally)
"ALWAYS MOVING LEFT TO RIGHT"
*************************
1st) Parenthesis
2nd) Exponents
3rd) * and /
(It maybe helpful to change Divide to Mult. "the INVERSE")
4th) + and -  (change Subt.  to Add "the OPPOSITE")
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48/8*3 is 6*3 which is 18    ...  Do NOT do the Mult. first 48 / 24

(The process does not say to MULT. and THEN DIVIDE.
     It gives them equal billing as you move Left-to-Right!
       Division is really Multiplication of the RECIPROCAL,
        "MD" could just be considered MULTIPLICATION only.)
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Subtraction becomes Additon of the OPPOSITE:
-8 - (-2)  NEGATIVE 8 Minus  Negative 2
Becomes:
Negative 8 PLUS Positive 2     ...      -8 + 2    =    -6
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Simplify Arithmetic Expressions

stretching and shrinking graphs

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Combining Functions

Polar Coordinates

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Where do two lines cross?

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LINE INTERSECTION PROBLEMS:

Compound Interest and "e"

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Compound Interest and "e=2.7182818..."

Derivatives - What f, and f ' and f " can do for you!

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AP Calculus HINTS

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1) You only need to get about 1/2 the questions
correct to pass with a "3".
2) With "Multiple Choice Questions", try to
eliminate one or more options and then
you can guess from the others. In guessing,
pick the one that looks the most like the
whole group of options.
3) With the "Show your Work Questions",
you must LABEL all graphs and number
lines that you use ( f or f ' or f " ).
4) If you use the Graphing Calculator to
find the Area, then be sure to write down
the DEFINITE INTEGRAL on the paper.

Symmetry of Functions / Graphs

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Three examples of how to

determine what type of

symmetry exists:

With Respect To - w.r.t.