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Verified Answer :

But the answer is possibly 9

f ( x ) = x³ + 3 x
Slope of a horizontal line is 0.
f ` ( x ) = 3 x² + 3
3 x² + 3  = 0
3 x² = - 3      / : 3
x² = - 1 ,  which give complex roots.
Answer:  NONE