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Directions Consider the following function f x f x 3x 10 Part 1 Difference Quotient...

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Calculus

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Directions Consider the following function f x f x 3x 10 Part 1 Difference Quotient If h 0 then the difference quotient can be simplified into the form A Bh Ch That is f x h f x h A Bh Ch where the coefficients A B and C can be functions of a or just constant terms Find these coefficients A 0 B 3 C 0 Note It s possible for one or more of these coefficients to be 0 Part 2 Derivative Use the simplified expression from Part 1 to then calculate the derivative f x f x lim h 0 f x h f x h

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