Download App

Continuity and Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsContinuity and Differentiability1 Mark
Question
Fill in the blanks:
An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is __________.
✓

Answer

An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is x = 0 and x = 1.
Solution:
|x| + |x - 1| is continuous everywhere but fails to be differentiable exactly at points
x = 0 and x = 1.
So, there can be more such examples of functions.

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 "Fill In The Blanks[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

Fill in the blanks.
If A and B are such that $\text{P}(\text{A}'\cup\text{B}')=\frac{2}{3}$ and $\text{P}(\text{A}\cup\text{B})=\frac{5}{9},$ then $\text{P}(\text{A}')+\text{P}(\text{B}')=$ ________.
→
The value of $\int \frac{d x}{\sqrt{x^2-a^2}}=$ ____________
→
Fill in the blanks.
If $\vec{\text{r}}\cdot\vec{\text{a}}=0,\vec{\text{r}}\cdot\vec{\text{b}}=0,$ and $\vec{\text{r}}\cdot\vec{\text{c}}=0$ for some non-zero vector $\vec{\text{r}},$ then the value of $\vec{\text{a}}(\vec{\text{b}}\times\vec{\text{c}})$ is _______.
→
Consider the following equations of curves $x^2= y$ and $y = x.$
On the basis of above information, answer the following questions.
  1. The point(s) of intersection of both the curves is (are).
  1. (0, 0)(2, 2)
  2. (0, 0)(1, 1)
  3. (0, 0)(-1, -1)
  4. (0, 0)(-2, -2)
  1. Area bounded by the curves is represented by which of the following graph?
  1. The value of the integral $\int\limits_{1}^{0}\text{x}\ \text{dx}$ is.
  1. $\frac{1}{4}$
  2. $\frac{1}{3}$
  3. $\frac{1}{2}$
  4. $1$
  1. The value of the integral $\int\limits_{0}^{1}\text{x}^2\ \text{dx}$ is.
  1. $\frac{1}{4}$
  2. $\frac{1}{3}$
  3. $\frac{1}{2}$
  4. $1$
  1. The value of area bounded by the curves $x^2= y$ and $x = y$ is.
  1. $\frac{1}{6}\text{ sq}.\text{unit}$
  2. $\frac{1}{3}\text{ sq}.\text{unit}$
  3. $\frac{1}{2}\text{ sq}.\text{unit}$
  4. ${1}\text{ sq}.\text{unit}$
→
Fill in the blank.
Sum of two skew symmetric matrices is always _________ matrix.
→
If $A =\left[\begin{array}{ll}0 & 3 \\ 2 & 0\end{array}\right]$ and $A ^{-1}=\lambda(\operatorname{adj} A )$, then $\lambda=$ _________
→
Fill in the blank.The principal value of $\cos^{-1}\Big(-\frac{1}{2}\Big)$ is __________.
→
Fill in the blanks.
The solution of $(1+\text{x})^2\frac{\text{dy}}{\text{dx}}+2\text{xy}-4\text{x}^2=0$ is _________.
→
If $A =\left[\begin{array}{cc}3 & -5 \\ 2 & 0\end{array}\right]$ and $B =\left[\begin{array}{cc}1 & 17 \\ 0 & -10\end{array}\right]$, then $| AB |=$ ________ .
→
Fill in the blanks:
The curves $y = 4x^2 + 2x - 8$ and $y = x^3 - x + 13$ touch each other at the point _____.
→