If the function f(x) = xe -x , x ∈ R attains its maximum val... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

If the function f(x) = xe -x , x ∈ R attains its maximum value β at x = α then (α, β) =

A

$(2,\frac{1}{e})$

B

$(1, \frac{1}{e})$

C

$(2,\frac{-1}{e})$

D

$(\frac{1}{e}, 1)$

Answer

$(1, \frac{1}{e})$

Explanation

Solution

The correct option is (B) $(1, \frac{1}{e})$