Asked by samantha
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.)
f '(x) = (x + 2)^4(x − 3)^7(x − 4)^6.
On what interval is f increasing? (Enter your answer in interval notation.)
Answers
Answered by
Steve
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,∞)
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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