Question

Find the intervals of concavity and inflection points of the function f(x)=x^4-4x^3+6x^2-1

Answer 1

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.

Answer 2

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?