The function f(x)=x^x is minimum at x= ______ - Vidyadip

MCQ

The function $f(x)=x^x$ is minimum at $x=$ ______

A
$e$
B
$-e$
C
$\frac{1}{e}$
D
$-\frac{1}{e}$

✓

Answer

coming soon

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Applications of Derivatives→Applications of Derivatives — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Let $\overline{ a }, \overline{ b }$ and $\overline{ c }$ be vectors with magnitudes 3, 4 and 5 respectively and $\bar{a}+\bar{b}+\bar{c}=0$, then the values of $\bar{a} \cdot \bar{b}+\bar{b} \cdot \bar{c}+\bar{c} \cdot \bar{a}$ is

$\big(\vec{\text{a}}+\vec{\text{b}}\big).\big(\vec{\text{b}}+\vec{\text{c}}\big)\times\big(\vec{\text{a}}+\vec{\text{b}}+\vec{\text{c}}\big)=$

If $\text{A}=\begin{bmatrix}5&\text{x}\\\text{y}&0\end{bmatrix}$ and $A = A^T$, then:

The direction cosines of a line equally inclined to three mutually perpendicular lines having direction cosines as $l_1, m_1, n _1 ; l_2, m_2, n _2$ and $l_3, m_3, n _3$ are

For a matrix
$A=\left[\begin{array}{lll}1 & 0 & 0 \\ 2 & 1 & 0 \\ 3 & 2 & 1\end{array}\right]$ if $U_1, U_2$ and $U_3$ are $3 \times 1$
column matrices satisfying
$AU _1=\left[\begin{array}{l}1 \\ 0 \\ 0\end{array}\right], AU _2=\left[\begin{array}{l}2 \\ 3 \\ 0\end{array}\right], AU _3=\left[\begin{array}{l}2 \\ 3 \\ 1\end{array}\right]$ and U is
$3 \times 3$ matrix whose columns are $U _1, U _2$ and $U _3$.
Then sum of the elements of $U ^{-1}$ is

$\int_1^2 \frac{1}{x^2} e^{\frac{1}{x}} \cdot d x=$

Negation of a statement 'If $\forall x, x$ is a complex number then $x^2<0^3$' is

The differention equation $\frac{\text{dy}}{\text{dx}}+\text{P}\text{y}=\text{Qy}^{\text{n}},\text{n}>2$ can be reduced to linear from by substituting:

If $A=\left[\begin{array}{lll}a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c\end{array}\right]$ and $a b c \neq 0$, then $A^{-1}=$

$\int_0^{\pi / 4}(\cos x-\sin x) d x+\int_{\pi / 4}^{5 \pi / 4}(\sin x-\cos x) d x$ $+\int_{2 \pi}^{\pi / 4}(\cos x-\sin x) d x$ is equal to