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Application of Derivatives question

2021 · 26 Aug · Shift 2 · Q25
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  5. /2021 · 26 Aug · Shift 2 · Q25

Application of Derivatives question

2021 · 26 Aug · Shift 2 · Q25

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
The local maximum value of the function f(x)=(2x)x2f(x) = {\left( {{2 \over x}} \right)^{{x^2}}}f(x)=(x2​)x2, x > 0, is
  1. A
    (2e)1e{\left( {2\sqrt e } \right)^{{1 \over e}}}(2e​)e1​
  2. B
    (4e)e4{\left( {{4 \over {\sqrt e }}} \right)^{{e \over 4}}}(e​4​)4e​
  3. C
    (e)2e{(e)^{{2 \over e}}}(e)e2​
  4. D
    1
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