Question 46 of 162MediumMCQ
If the function f(x)=(x1)2x;x>0 attains the maximum value at x=e1 then : Solutions · 1
Official solution
f(π1)\[\begin{gathered} \Rightarrow {(\frac{1}{1})}^{\frac{2}{\pi }}<{(\frac{1}{\frac{1}{e}})}^{\frac{2}{e}} \\ \Rightarrow (\pi {)}^{\frac{2}{\pi }}<(e{)}^{\frac{2}{e}} \\ \Rightarrow {\pi }^{e}<{e}^{\pi } \end{gathered}\] Answer the question to unlock