3.1/3.2 – Definitions of Derivatives

We spent the majority of class today discussing how the Average Rate of Change (slope of a secant line) becomes the Instantaneous Rate of Change (slope of a tangent line).  We reviewed the Classic (limit) Definition of a Derivative:  Screen Shot 2014-09-10 at 1.37.31 AM.  We also talked about the Variation on the Classic Definition of Screen Shot 2014-09-10 at 1.41.02 AM.  We also practiced finding the derivative of a function using these definitions.  We closed the period while discussing the Symmetric Difference Quotient:  Screen Shot 2014-09-10 at 1.43.12 AM.

 

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