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 ....