Find the inflection points of f(x)=6x^4+34x^3−18x^2+10. (Give your answers as a comma separated list, e.g., 3,-2.)
f'(x) = 24x^3 + 102x^2 - 36x
f''(x) = 72x^2 + 204x - 36
= 0 at the points of inflection
divide each term by 12
6x^2 + 17x - 3 = 0
(x+3)(6x-1) = 0
x = -3 or x = 1/6
so there are 2 points of inflection , one with x = -3 and the other with x = 1/6
plug those values into the original to their corresponding y values.