### Home > CALC > Chapter 4 > Lesson 4.5.1 > Problem 4-166

4-166.

Use the definition of a derivative as a limit to find

Show all algebraic steps. DO NOT use a shortcut!

Hana's Definition of the Derivative:

1. Substitute.

2. Expand the numerator.

3. Combine like terms.

4. Factor out an .

5. Cancel out the

*in the denominator.*

6. Evaluate the limit.

7. Confirm your answer with the Power Rule.