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Math Help - Local minimum and inflection

  1. #1
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    Local minimum and inflection

    Let f(x) = x^3 + ax^2. What is the value of a if
    (a) f has a local minimum at x = 4?
    (b) f has a point of inflection at x = 6?

    How do I find a given the local minimum and point of inflection?
    Thanks.
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  2. #2
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    Quote Originally Posted by Sxon View Post
    Let f(x) = x^3 + ax^2. What is the value of a if
    (a) f has a local minimum at x = 4?
    (b) f has a point of inflection at x = 6?

    How do I find a given the local minimum and point of inflection?
    Thanks.
    To find a local minimum you should take the first derivative.

    To find the point of inflection you should take the second derivative.
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  3. #3
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    Ah, i see, thanks.
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