Download App

CONTINUITY AND DIFFERENTIABILITY — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSCONTINUITY AND DIFFERENTIABILITY1 Mark
Question
The function f(x) = e|x| is:
  1. Continuous everywhere but not differentiable at x = 0
  2. Continuous and differentiable everywhere
  3. Not continuous at x = 0
  4. None of these.
✓

Answer

  1. 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→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

For the area bounded by the curve y = ax, the line x = 2 and x - axis to be 2 sq. units, the value of a must be equal to:
  1. 2
  2. 4
  3. 6
  4. 8
→
Domain of $ \text{f}(\text{x})=\cot ^{ -1 }{ \text{x} } +\cos ^{ -1 }{ \text{x} } +\text{c}o\sec ^{ -1 }{ \text{x}}$ is:
  1. [-1, 1]
  2. R
  3. (-∞, -1] ∪ [1, ∞)
  4. {-1, 1}
→
The direction ratios of the normal to the plane 7x + 4y - 2z + 5 = 0 are:
  1. 7, 4, -2
  2. 7, 4, 5
  3. 7, 4, 2
  4. 4, -2, 5
→
If A and B are two events such that $\text{P(A)}=\frac{4}{5},$ and $\text{P}(\text{A}\cap\text{B})=\frac{7}{10},$ then P(B|A) =
→
For the system of equations:
x + 2y + 3z = 1
2x + y + 3z = 2
5x + 5y + 9z = 4
  1. There is only one solution.
  2. There exists infinitely many solution.
  3. There is no solution.
  4. None of these.
→
Area bounded by the ellipse $\frac{\text{x}^2}{4}+\frac{\text{y}^2}{9}=1$
  1. $6\pi\text{ sq}.\text{units}$
  2. $3\pi\text{ sq}.\text{units}$
  3. $12\pi\text{ sq}.\text{units}$
  4. $\text{None of these}$
→
Let R be the relation “is congruent to” on the set of all triangles in a plane is:
  1. Reflexive.
  2. Symmetric.
  3. Symmetric and reflexive.
  4. Equivalence.
→
Evaluate: $\int\sec^2(7-4\text{x})\text{dx}.$
  1. $-\frac{1}{4}\tan(7-4\text{x})+\text{c}$
  2. $\frac{1}{4}\tan(7-4\text{x})+\text{c}$
  3. $\frac{1}{4}\tan(7+4\text{x})+\text{c}$
  4. $-\frac{1}{4}\tan(7\text{x}-4)+\text{c}$
→
$\int\frac{\text{xdx}}{(\text{x-1)}(\text{x-2})}$ equals:
  1. $\log\begin{vmatrix}\frac{(\text{x}-1)^2}{\text{x}-2}\end{vmatrix}+\text{c}$
  2. $\log\begin{vmatrix}\frac{(\text{x}-2)^2}{\text{x}-2}\end{vmatrix}+\text{c}$
  3. $\log\begin{vmatrix}\Big(\frac{\text{x}-1}{\text{x}-2}\Big)^2\end{vmatrix}+\text{c}$
  4. $\log|(\text{x}-1)(\text{x}-2)+\text{c}$
→
Which of the following is the general solution of the differential equation $\frac{d y}{d x}=\frac{y}{x}$ ?
→