JEE MATHEMATICS MCQ: DIFFERENTIATION

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f: \mathbb{R} \rightarrow \mathbb{R}

is an even function, then

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Correct option: A

f^{\prime}(0)=0

Option A (

f^{\prime}(0)=0

) is correct because the derivative of an even function is an odd function, and odd functions are zero at x=0.

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