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Suppose the derivative of a function f is

f '(x) = (x + 2)^4(x − 3)^7(x − 4)^6.
On what interval is f increasing? (Enter your answer in interval notation.)

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  1. f is increasing where f' > 0

    since the even powers are always positive, f'>0 where

    x-3 > 0
    and
    x-4 > 0
    so, that would be

    (3,4)U(4,∞)

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