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Your answer should include many observations, including:

They are both Defintions of the Derivative.

i. uses Hana's Method.
ii. uses Hanah's Method.

In both cases, the function that is being differentiated is f(x) = (x + 1)(x + 2).

Once f(x) is determined, both can be evaluated using the Power rule, avoiding lengthy Algebraic manipulation.

i. Refer to hints in problem 3-64.
ii. Refer to hints in problem 3-92.