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Homework Statement
The function f is defined as
f(x)=3x^5-10x^3+1
1) Determine the maximum and minimum points, as well the point of inflection of the graph f.
Homework Equations
All the differentiation equation.
3. The Attempt at a Solution
I found the maximum point and minimum point, but I had some trouble with the inflection point.
So...
f''(x)=60x^3-60x^2
f''(x)=0,
60x^3-60x^2=0
x=0, x=1
f'''(0)=0
Hence the only inflection point is (1,-6)
But the answer given is (0,1),(1,-6)and (-1,8). Is the answer correct?