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`f(x) = x^3 + 6x, c = 2` Use the alternate form of the derivative to find the derivative at x = c (if it exists)

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nick-teal eNotes educator | Certified Educator

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`lim_(x->2) (f(x) - f(c))/(x-c)`

`lim_(x->2) (x^3 + 6x - 20)/(x-2)`

Simplify using synthetic division.

`lim_(x-> 2) x^2 + 2x + 10 = 18`

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