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Identify point(s) where the second derivative of f ( x ) = x 4 4 x 3 + 6 x 2 + 9 x 1

Identify point(s) where the second derivative off(x)=x44x3+6x2+9x17 is zero. Are these points inflection points on the graph of f(x)? Why or why not? SHOW ALL WORK.

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