### Home > CALC > Chapter 3 > Lesson 3.2.3 > Problem 3-77

3-77.

Lazy Lulu is looking at this limit: *definition of the derivative *at a point. She thinks she could use the Power Rule instead.

What variation of the definition of the derivative is this?

This is Ana's Definition of the Derivative:

What is

? What is a?Observe that

when.

Notice that, which confirms that equation ofis correct.Use the Power Rule to find

and._________________________________

You just avoided a lot of Algebra!