Posted by Andres on Wednesday, October 12, 2011 at 7:10pm.
inflection at y'' = 0
y' = 15x^4 - 20x^3 - 240x^2 + 720x + 1000
y'' = 60x^3 - 60x^2 - 480x + 720
so solve y'' = 0
x^3 - x^2 - 8x + 12 = 0
(x-2)(x-2)(x+3) = 0
There you have the x values. I trust you can evaluate y(x) to get the rest.
so would the inflection point be x=-3 because thats where it goes from decreasing to increasing
yes
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