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Math Help - Non stationary point of inflection

  1. #1
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    Non stationary point of inflection

    i have this equation

    f(x)= 80x + (5+4x)^2 - (2x^3/3)

    i need to show that there is a non stationary point of inflection where the first derivative is maximized

    the 2 x values i get are -3.14 and 19.14 although im not sure this is right

    also for a non stationary point i am told the sign either sign of x doesnt vary when in my case it does???!!
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  2. #2
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    Quote Originally Posted by molimoli View Post
    i have this equation

    f(x)= 80x + (5+4x)^2 - (2x^3/3)

    i need to show that there is a non stationary point of inflection where the first derivative is maximized

    the 2 x values i get are -3.14 and 19.14 although im not sure this is right

    also for a non stationary point i am told the sign either sign of x doesnt vary when in my case it does???!!
    I agree with these 2 solutions and as they you have 2 different solutions and the polynomial is of order 3 then the stationary points can not be inflecting.
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