2019 CED – Unit 2: Differentiation: Definition and Fundamental Properties.

Unit 2 contains topics rates of change, difference quotients, and the definition of the derivative (CED – 2019 p. 51 – 66). These topics account for about 10 – 12% of questions on the AB exam and 4 – 7% of the BC questions. Topics 2.1 – 2.4: Introducing and Defining the Derivative  Topic 2.1:…

Difference Quotients II

The Symmetric Difference Quotient In the last post we defined the Forward Difference Quotient (FDQ) and the Backward Difference Quotient (BDQ). The average of the FDQ and the BDQ is called the Symmetric Difference Quotient (SDQ): You may be forgiven if you think this might be a better expression to use to find the derivative.…

Difference Quotients I

Difference Quotients & Definition of the Derivative In the second posting on Local Linearity II, we saw that what we were doing, finding the slope to a nearby point, looked like this symbolically: This expression is called the Forward Difference Quotient (FDQ). It kind of assumes that h > 0. There is also the Backwards…