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Use the definition of a derivative as a limit to determine .

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.