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JEE MATHEMATICS MCQ: DIFFERENTIATION

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

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