MathematicsMedium175×since 2002Q2658The local maximum value of the function f(x)=(2x)x2f(x) = {\left( {{2 \over x}} \right)^{{x^2}}}f(x)=(x2)x2, x > 0, isA(2e)1e{\left( {2\sqrt e } \right)^{{1 \over e}}}(2e)e1B(4e)e4{\left( {{4 \over {\sqrt e }}} \right)^{{e \over 4}}}(e4)4eC(e)2e{(e)^{{2 \over e}}}(e)e2D1Check answerSkip