Class Notes (11-8-07)




We went over the past two quizzes and the homework in small groups and also reviews the parametric mode.

Notes from the homework:
On a Position vs. Time Graph – When the line is concave up, the acceleration will be positive. When the line is concave down, the acceleration will be negative.

Inflection Point – change from concave up to concave down or vice versa. At this point, acceleration will be zero.

If three lines on one graph are given and you are told to tell which is acceleration, velocity, and position, look at the roots of one line and see which other line has roots at those x-values. The line that has the roots will be the derivative of the one that has the inflection point.

Derivative of Products (Exploration 4-2):

d-prod.png

The derivative of f(x) does not equal g’(x)*h’(x). To find the derivative of this equation, the derivative of g(x) times the function h(x) must be added to the derivative of h(x) times the function g(x).

d-prod-2.png

More information on the derivative of two products can be found on page 132 of the text.

After we proved how to find the derivative of two products, we took another quiz on derivatives and the power rule.

Homework:

Read sections 4-2 and 4-3.

On page 134, All Q’s and problems 1-21 odd

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