For f(x)=x5−5x4+5x3+1f(x) = x^5 - 5x^4 + 5x^3 + 1f(x)=x5−5x4+5x3+1, find all inflection points.
x=1x=1x=1 and x=3x=3x=3
x=0x=0x=0 and x=2x=2x=2
x=1x=1x=1 only
x=3x=3x=3 only