Question:medium

What are the values of \( c \) for which Rolle’s theorem for the function \( f(x) = x^3 - 3x^2 + 2x \) in the interval \( [0,2] \) is verified?

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After verifying Rolle’s conditions, always solve \( f'(x)=0 \) to find required points.

Updated On: Apr 23, 2026

\( c = \pm 1 \)
\( c = 1 \pm \frac{1}{\sqrt{3}} \)
\( c = \pm 2 \)
None of these

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The Correct Option is B

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