The value of c in the Roll’s theorem for the function $f (x) = x^{3} - 3 x$ in the interval $[0, \sqrt{3}]$ is

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-1

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3/2

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1/3

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Solution

The correct option is A
1

$f^{'} (c) = 0 \Rightarrow 3 c^{2} - 3 = 0$

$\Rightarrow c = 1$

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