How do you find points of inflection and determine the intervals of concavity given #y=x^(1/3)(x-4)#?
1 Answer
Jan 8, 2018
There is a point of inflection at
Explanation:
Let's say
This means:
and
Points of inflection occur where f''(x) crosses the x-axis, which happens where f''(x) = 0, and there isn't a double root.
In the case of this problem, this occurs at
By substituting numbers around 2, we can easily see that
Therefore, your answer is:
There is a point of inflection at