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Find the intervals of concavity and inflection points of the function f(x)=x^4-4x^3+6x^2-1
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you have to do the 2nd derivative test and then set that equal to zero to find x which will be you point of inflection. For the concavity you have to plug your found x values into the 1st derivative and if its positive its concave up and if its negative its concave down.
So for this question you don't have to worry about finding your critical point from the first derivative? you just go straight to the second derivative?
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