Teaching UP TGT Mock Test Series 2025 Mathematics Differential Calculus Applications of Derivatives

The local maximum value of f(x) = \(\left(\frac{3}{x^2}\right)^x\), x > 0 is:

1
\(e^\frac{3}{e}\)
2
\(e^\frac{2}{e}\)
3
\(e^\frac{2\sqrt{3}}{e}\)
4
\(e^\frac{\sqrt{3}}{e}\)
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