Derivative Notation and Velocity. Notation for the Derivative.

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Presentation transcript:

Derivative Notation and Velocity

Notation for the Derivative

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…

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?

Estimating Velocity (or Value of Derivative)

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