The value of x for which the function f(x) = _0^x (1 - t^2)e^ -t^2/2 ,dt has an extremum is

JEE Advanced Mathematics question

The value of for which the function has an extremum is

Answer: (B),(C)

By the Fundamental Theorem of Calculus (Leibniz rule), . Since , . - Sign of = sign of : negative for , positive

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Question ID VK-109417