So, no one wants to do complicated limits to find derivatives. There are easier ways of course. There are a number of quick ways (rules, formulas) for finding derivatives of the Elementary Functions and their compositions. Here are some ways to introduce these rules; these are the subject of this week’s review of past posts.

The Derivative I Guessing the derivatives from the definition

__The Derivative II__ Using difference Quotient to graph and guess

The Derivative Rules I The Power Rule

The Derivative Rules II Another approach to the Product Rule from my friend Paul Foerster

The Derivative Rules III The Quotient Rule developed using the Power Rule, an approach first suggested by Maria Gaetana Agnesi (1718 – 1799) who was helping her brother learn the calculus.

Next week: The Chain Rule.