How many points of inflection are there on x^3+6x-8=0?
To answer this, you take the second derivative of the function, set it equal to zero and solve for x.
f' = 3x^2 + 6
f'' = 6x
Set f '' = 0
6x = 0
x = 0
There is one inflection point and it occurs at x = 0.
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