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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Understanding +4 | -1
If f:R→Rf:R \to R is an even function which us twice differentiable on RR and f′′(π)=1f''\left( \pi \right) = 1, then f′′(−π)f''\left( { - \pi } \right)
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Correct option: C
1
Option C (1) is correct because the second derivative of an even function is also even, hence f′′(−x)=f′′(x)f''(-x) = f''(x).

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