The maximum value of x^-x is Option 1: e^e-1 Option 2: e^1/e Option 3: e^-1/e Option 4: e^-4/e

The answer is 'e^1/e'. View full solution:

CUET Mathematics - The maximum value of x^-x is | PYQs + Solutions

CUET Mathematics 2022 10 Aug Shift 1

Calculus

Medium

$e^{e-1}$

$e^{\frac{1}{e}}$

$e^{\frac{-1}{e}}$

$e^{\frac{-4}{e}}$

✅ Correct Option: 2

Related questions:

2 June Shift 1

For the function $f(x) = -2x^3 + 3x^2 + 36x - 10$ , which of the following is/are true?

(A) $f$ is increasing in $(-\infty, -2)$

(B) $f$ is increasing in $(-2, 3)$

(D) $f$ is decreasing in $(3, \infty)$

Choose the correct answer from the options given below:

29 May Shift 2

If $f(x) = 2x^3 - 15x^2 + 36x + 1$ , $x \in [1, 5]$ , then the absolute minimum value of $f(x)$ is:

23 May Shift 3

The intervals for which $f(x) = x^4 - 2x^2$ is increasing are :