MCQ
The set of all points where the function $f(x)=x+|x|$ is differentiable, is
  • A
    $(0, \infty)$
  • B
    $(-\infty, 0)$
  • C
    $(-\infty, 0) \cup(0, \infty)$
  • D
    $(-\infty, \infty)$

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

Similar questions

Find the direction cosines of the line joining $A(0,7,10)$ and $B(-1,6,6)$.
If $\vec{a}=\hat{i}+\hat{j}+2 \hat{k}$, then the value of $\vec{a} \cdot \vec{a}$ will be
The domain of the function $f(x)=\frac{1}{\sqrt{[x]^2-3[x]-10}}$ is (where $[x]$ denotes the greatest integer less than or equal to $x$ )
Choose the correct answer from the given four options.
Let f : R → R be given by f(x) = tanx. Then f-1(1) is:
  1. $\frac{\pi}{4}$
  2. $\{\text{n}\pi+\frac{\pi}{4}:\text{n}\in\text{Z}\}$
  3. $\text{Does not exist.}$
  4. $\text{None of these}.$
The area of the smaller region enclosed by the curves $y ^{2}=8 x +4$ and $x^{2}+y^{2}+4 \sqrt{3} x-4=0$ is equal to.
The ordinate of a point describing the circle $x^2 + y^2 = 25$ decreases at the rate of $1\, cm/sec$, then the rate of change of abscissa of the point when ordinate equal to $3\,cm$ is- (Given $x > 0, y > 0$)
Find the value of x if $\begin{bmatrix}3&\text{3}\\2&\text{x}^2\end{bmatrix}=\begin{bmatrix}5&3\\3&2\end{bmatrix}.$
  1. $\text{x}=1,-\frac{1}{3}$
  2. $\text{x}=-1,-\frac{1}{3}$
  3. $\text{x}=1,\frac{1}{3}$
  4. $\text{x}=-1,\frac{1}{3}$
The value of $\int\limits_0^2 {\frac{{dx}}{{{{(1 - x)}^2}}}} $ is
${d \over {dx}}({\log _e}x)({\log _a}x)] = $
The corner points of the bounded feasible region are $(0,0),(2,0),(4,2),(2,4)$ and $\left(0, \frac{10}{3}\right)$

Then for the objective function $z=-x+2 y$

$(i)$ Maximum value of $z$ has at $\ldots \ldots \ldots . . .$

$(ii)$ Minimum value of $z$ has at $\ldots \ldots \ldots . . .$

$(iii)$ The maximum value of $z$ is $\ldots \ldots \ldots . . .$

$(iv)$ The minimum value of $z$ is $\ldots \ldots \ldots . . .$