AP Calculus

Went over homework
Quotient Rule:

identities:

Derivatives- Displacement, Velocity, Acceleration

Anti- Derivative= integral= undoing the derivative
Parametric Mode
-Can be changed under MODE menu. Click PAR
-Can be used for particle problems to analyze a one or two dimensional motion
-Easier to see if you use the bouncing ball when you graph it
-You can plot displacement, velocity (derivative of displacement), and acceleration (2nd derivative of displacement [...]

finds the slope of the tangent line at f=c
more specific; at a point
use when you have a function and a point

any function at any point
can be used for every problem
as x and x+h get closer, it approaches the slope of the tangent line.

Derivative: Slope of the tangent line.
Find when taking limit of the slope of [...]

Quiz Clarifications
Question #1

Continuity (at point c)

Cusp
a cusp is a singular point of the curve.
(http://img.photobucket.com/albums/v48/punkdbaby/limits5.jpg)
NO DERIVATIVE AT A CUSP
Step Discontinuity

(http://www.mathwords.com/s/s_assets/s157.gif)
Removable Discontinuity

Asymptote
NO LIMIT
(http://jwilson.coe.uga.edu/EMT668/EMAT6680.Folders/Barron/Write-ups/Assignment%201/Figure4.gif)
Homework for next class
pg 58-59
23, 27, 31, 37, 41, 49, 55, 57, 65, 67, 70

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We spent the first part of class talking about the applications of derivatives. It breaks into two different concepts 1. The area under a curve or area between curves and 2. Average volume. We had already gone over the area under curves, but we covered between curves.
With the two functions, find the points of intersection [...]

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