§3.2 – The Derivative Function October 2, 2015.

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Presentation transcript:

§3.2 – The Derivative Function October 2, 2015

Definition of The Derivative Function

Normal Line

Derivatives

 Remember these are slopes of a tangent line of the curve  Positive slope = positive velocity (forward)  Negative slope = negative velocity (backwards)  Zero slope = zero velocity (stopped)  Maximum slope = maximum velocity  Minimum slope = minimum velocity  The tangent line will give the instantaneous rate of change of anything  The secant line will give the average rate of change of anything

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