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Derivative Notation and Velocity. Notation for the Derivative.

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Presentation on theme: "Derivative Notation and Velocity. Notation for the Derivative."— Presentation transcript:

1 Derivative Notation and Velocity

2 Notation for the Derivative

3 Example Find for. Then, use the derivative to find the slope of the tangent line at the point where x = 4. *The only thing different from last section is the way the question is asked…

4 Instantaneous Velocity Function An object is dropped off the Empire State Building and its position, s, can be modeled by : –Find the velocity function of the object –Find the time interval over which the function is valid –What is the velocity of the object when it hits the ground?

5

6 Estimating Velocity (or Value of Derivative)

7 Homework Pg. 187 (9 – 19odd) – HW Quiz Pg. 176 (1, 3, 5) and pg. 178 (20, 21)

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