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1.3-1.4.  Total Change/Length of the interval  Δy/Δx  Average rate of change is the slope of the secant line.

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Presentation on theme: "1.3-1.4.  Total Change/Length of the interval  Δy/Δx  Average rate of change is the slope of the secant line."— Presentation transcript:

1 1.3-1.4

2  Total Change/Length of the interval  Δy/Δx  Average rate of change is the slope of the secant line

3  Find the average rate of change of the function f(x) = x 3 – x on the interval [1, 3]

4  Through experiment, biologists have found that the following graph models the population growth of fruit flies over 50 days. Find the average rate of change from day 23 to day 45.

5  The slope of the secant line is the same as the average rate of change. The formula for the slope of the secant line is just the slope formula written in a manor that you should recognize.

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7 This leads us to be able to find the slope of a tangent line

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10  a) Find the slope of the tangent line at x=2  b) Find the point where the slope is -1/8

11  Pg 130 # 27, 28, 40, 42  Pg 145 #17-22 part (a) Find slope only


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