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On problems 3 and 4, it must be clear which derivative you are working with, which...

On problems 3 and 4, it must be clear which derivative you are working with, which numbers you are plugging in (if any), and where you are plugging them into.

3. Given that f(x) = (x − 1)(x + 6)^9 , f '' (x) = (x + 6)^8 (10x − 3), and f ''' (x) = 18(x + 6)^7 (5x + 2), find the x-value(s) of all local extrema for f(x).

4. Find the x-values(s) of the inflection point(s) for f(x) = x^3/3  − 25x + 3.

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