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Directions Consider the following function f x at a 3 Part 1 Difference Quotient A...

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Calculus

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Directions Consider the following function f x at a 3 Part 1 Difference Quotient A If h0 then the difference quotient can be simplified into the form f 3 h f 3 h where A B C D and E are all non negative constants Find these constants B C 0 0 D Note It s possible for one or more of these constants to be 0 E 5 x A Bh C Dh Eh A Bh C Dh Eh f 3 lim h 0 Part 2 Derivative Use the simplified expression from Part 1 to then calculate the derivative f 3 That is note the negative in front f 3 h f 3 h

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