The function f(x) = e|x| is: - Vidyadip

MCQ

The function $f(x) = e|x|$ is:

✓
Continuous everywhere but not differentiable at $x = 0$
B
Continuous and differentiable everywhere
C
Not continuous at $x = 0$
D
None of these.

✓

Answer

Correct option: A.

Continuous everywhere but not differentiable at $x = 0$

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 Continuity and Differentiability→Continuity and Differentiability — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

$ABCDE$ is a pentagon. Forces $\overrightarrow {AB} ,\,\overrightarrow {AE} ,\,\overrightarrow {DC} ,\,\overrightarrow {ED} $ act at a point. Which force should be added to this system to make the resultant $ 2 \overrightarrow {AC} $

${d \over {dx}}\left( {{{\sec x + \tan x} \over {\sec x - \tan x}}} \right) = $

$\int_{\,0}^{\,\infty } {\frac{{x\ln x\,dx}}{{{{(1 + {x^2})}^2}}}} $ is equal to

$\left| {\,\begin{array}{*{20}{c}}{1/a}&{{a^2}}&{bc}\\{1/b}&{{b^2}}&{ca}\\{1/c}&{{c^2}}&{ab}\end{array}\,} \right| = $

If $\int_{\pi /2}^x {\sqrt {3 - 2{{\sin }^2}u} } \,du + \int_0^y {\cos t\,dt} = 0,$ then $\frac{{dy}}{{dx}} = $

Let $A=\{1,2,3,5,8,9\}$. Then the number of possible functions $f : A \rightarrow A$ such that $f(m \cdot n)=f(m) \cdot f(n)$ for every $m, n \in A$ with $m \cdot n \in A$ is equal to $...............$.

The value of $\int_{}^{} {\frac{{dx}}{{\sqrt x \,(x + 9)}}dx} $ is equal to

Choose the correct answer from the given four option.
The degree of the differential equation $\Big(\frac{\text{d}^2\text{y}}{\text{d}\text{x}^2}\Big)+\Big(\frac{\text{d}\text{y}}{\text{d}\text{x}}\Big)^2-\sin\Big(\frac{\text{d}\text{y}}{\text{d}\text{x}}\Big)$ is:

If the order of matrices $A$ and $B$ are $3 \times 2$ and $2 \times 1$ respectively, then find the order of matrix $($if possible$)\ AB :$

Let $f: R \rightarrow R$ be a differentiable function such that its derivative $f^{\prime}$ is continuous and $f(\pi)=-6$. If $F:[0, \pi] \rightarrow R$ is defined by $F(x)=\int_0^{ x } f( t ) dt$, and if $\int_0^\pi\left(f^{\prime}( x )+ F ( x )\right) \cos x dx =2$ then the value of $f(0)$ is. . . . . .