The value of d d( x) ( e^x ^2 x) at x=e, is - Vidyadip

MCQ

The value of $\frac{d}{{d(\ln x)}}({e^x}{\ln ^2}x)$ at $x=e$, is

✓
$e^e (e + 2)$
B
$e^{e+1}$
C
$2e^{e+1}$
D
$e^e(e + 1)$

✓

Answer

Correct option: A.

$e^e (e + 2)$

a

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 "M.C.Q (1 Marks)" from STD 12 - 5. continuity and differentiation→STD 12 - 5. continuity and differentiation — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The vector $b = 3j + 4k$ is to be written as the sum of a vector ${b_1}$ parallel to $a = i + j$ and a vector ${b_2}$ perpendicular to a. Then ${b_1} = $

The unit vector perpendicular to the plane passing through points $\text{P}\big(\hat{\text{i}}-\hat{\text{j}}+2\hat{\text{k}}\big),\text{Q}\big(2\hat{\text{i}}-\hat{\text{k}}\big)$ and $\text{R}\big(2\hat{\text{j}}+\hat{\text{k}}\big)$ is :

Choose the correct answer from the given four options.
The value of the expression $2\sec^{-1}2+\sin^{-1}\Big(\frac{1}{2}\Big)$ is:

Choose the correct answer from given four options in each of the Exercise:If $x, y, z$ are all different from zero and $\begin{vmatrix}1+\text{x}&1&1\\1&1+\text{y}&1\\1&1&1+\text{z}\end{vmatrix}=0,$ then the value of $x^{-1} + y^{-1} + z^{-1}$ is:

For which interval, the function ${{{x^2} - 3x} \over {x - 1}}$ satisfies all the conditions of Rolle's theorem

If $\vec{a}, \vec{b}$ and $\vec{c}$ are unit vectors satisfying $|\vec{a}-\vec{b}|^2+|\vec{b}-\vec{c}|^2+|\vec{c}-\vec{a}|^2=9$, then $|2 \vec{a}+5 \vec{b}+5 \vec{c}|$ is

The true solution set of the inequality,

$\sqrt {5\,x\,\, - \,\,6\,\, - \,\,{x^2}} \,\, + \,\,\frac{\pi }{2}\,\,\int\limits_0^x {} $$dz > x \int\limits_0^\pi {} sin^2 x \,dx$ is :

If the local maximum value of the function $f(x)=\left(\frac{\sqrt{3 e}}{2 \sin x}\right)^{\sin ^2 x}, \quad x \in\left(0, \frac{\pi}{2}\right)$, is $\frac{k}{e}$, then $\left(\frac{ k }{ e }\right)^8+\frac{ k ^8}{ e ^5}+ k ^8$ is equal to

If $A$ is a $3 \times 3$ matrix and $|A|=-2$, then value of $|A(\operatorname{adj} A)|$ is

The area bounded by the curve $y = x|x|$ and the ordinates $x = -1$ and $x = 1$ is given by: