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Math Help - Point of inflection

  1. #1
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    Point of inflection

    How would I find the point of inflection if the second derivative of my function is f"(x) = (2x^5 18x^4 + 88x^3 208x^2 12x + 304) / (x^2-3x-4)^4

    I have know Idea how to solve this for x when f"(x) = 0
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  2. #2
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    Quote Originally Posted by steezin View Post
    How would I find the point of inflection if the second derivative of my function is f"(x) = (2x^5 – 18x^4 + 88x^3 – 208x^2 – 12x + 304) / (x^2-3x-4)^4

    I have know Idea how to solve this for x when f"(x) = 0
    x = -1 and x = 4 are obvious solutions of 2x^5 – 18x^4 + 88x^3 – 208x^2 – 12x + 304 = 0. There is one other real solution - it lies between x = 1 and x = 2 and its exact value is more difficult to get. Now yuo have to test which of these give a point of inflection ....
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