Find the points of inflection and intervals of concavity for f(x)=3x^4-16x^3+24^2-9

Answer 1

f' = 12x^3-48x^2+48x
f" = 36x^2-96x+48 = 12(3x-2)(x-2)
inflection where f" = 0
concave up where f" > 0
concave down where f" < 0