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.)

1 answer

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,∞)