Calc
posted by Andres on .
Determine the xvalue for each inflection point on the graph of the following function.
f(x)=3x^55x^480x^3+360x^2+1000x+850

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
(x2)(x2)(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 that's where it goes from decreasing to increasing

yes