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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
6. Evaluate the limit.
7. Confirm your answer with the Power Rule.