Question

The maximum value of x^1/x is –

• A. e
• B. 0
• C. 1/e
• D. ) e^1/e

Answer 1

)

Sol. f(x) = x^1/x

f¢(x) = x^1/x $\left( \frac { 1 } { x ^ { 2 } } - \frac { \log x } { x ^ { 2 } } \right)$

f¢(x) = 0 Ž x = e

Hence its maximum value = f(5) = e^1/e