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Math Help - Points of inflection and concavity

  1. #1
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    Question Points of inflection and concavity

    Find the points of inflection and describe the concavity of the function
    f(x) = x^3 (x-4).
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  2. #2
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    Quote Originally Posted by 21tyri View Post
    Find the points of inflection and describe the concavity of the function
    f(x) = x^3 (x-4).
    Find the second derivative. Then find the intervals where function is increasing and decreasing (number line analysis)
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  3. #3
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    Question Points of inflection

    Alright so this is what i came uo with, I still cant figure out how to find the points of inflection though.

    f''(x) = 12x^2 - 24x

    12x(x-2)= 0

    x=2
    x=0

    (negative infinity,0) concave upward
    (0,2) concave downward
    (2, infinity) concave upward

    how do i find the points of inflection?
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