The local maximum value of the function $f(x)=\left(\frac{2}{x}\right)^{x^2}, x>0$, is:

[JEE Main 2021, 26 Aug (Shift 2)]

Question

The local maximum value of the function $f(x)=\left(\frac{2}{x}\right)^{x^2}, x>0$, is: [JEE Main 2021, 26 Aug (Shift 2)]

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The local maximum value of the function \(f(x)=\left(\frac{2}{x}\right)^{x^2}, x>0\), is: [JEE Main 2021, 26 Aug (Shi…