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The Stationary points of $8 x^{2} - x^{4} - 4$ are

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$(0, - 4), (2, 12), (- 2, 12)$

$(1, 1)$

$(1, 2)$

$(1, 12)$

answer is A.

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Detailed Solution

$f (x) = 8 x^{2} - x^{4} - 4 f^{1} (x) = 0 \Rightarrow 16 x - 4 x^{3} = 0 \Rightarrow x = 0, 2, - 2 \Rightarrow (0, f (0)), (2, f (2)), (- 2, f (- 2)) \Rightarrow (0, - 4), (2, 12), (- 2, 12)$

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