Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
mobile
exams
ask
sample papers
tutors
pricing
sign-in
Download our FREE mobile app with 1000+ tests for CBSE, JEE MAIN, NEET
X
Search
Topics
Want to ask us a question?
Click here
Browse Questions
Student Questions
Ad
Home
>>
CBSE XII
>>
Math
>>
Continuity and Differentiability
0
votes
An example of a function which is continuous everywhere but fails to be differentiable exactly at two point is ____________.
cbse
class12
ch5
q97
p116
fitb
exemplar
sec-b
easy
math
Share
asked
Jan 3, 2013
by
sreemathi.v
retagged
Jul 4, 2013
by
sreemathi.v
Please
log in
or
register
to add a comment.
Can you answer this question?
Do not ask me again to answer questions
Please
log in
or
register
to answer this question.
1 Answer
0
votes
Toolbox:
Every differentiable function is continuous,but the converse is not true.
A function is said to be differentiable at every point in its domain.
Consider $f(x)=\mid x\mid$
This function is continuous everywhere but it is not differentiable at $x=1$.
Hence the combined function $f(x)=\mid x\mid+\mid x-1\mid$ is continuous everywhere but not differentiable at exactly $0$ and $1$.
Hence an example of a function which is continuous everywhere but fails to be differentiable exactly at two points is $\mid x\mid,\mid x-1\mid$
answered
Jul 4, 2013
by
sreemathi.v
Please
log in
or
register
to add a comment.
Related questions
0
votes
1
answer
For the curve $\sqrt x + \sqrt y=1,\large \frac{dy}{dx}$ at $\bigg(\large\frac{1}{4},\frac{1}{4}\bigg)$ is ____________.
asked
Mar 26, 2014
by
balaji.thirumalai
cl2460
cbse
class12
ch5
q101
p116
fitb
exemplar
sec-a
easy
math
0
votes
1
answer
If $f(x)=\mid \cos x\mid$,then $f'(\frac{\pi}{4})$=____________.
asked
Jan 3, 2013
by
sreemathi.v
cbse
class12
ch5
q99
p116
fitb
exemplar
sec-a
easy
math
0
votes
1
answer
Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.
asked
Dec 4, 2012
by
thanvigandhi_1
cbse
class12
bookproblem
ch5
misc
q21
p192
sec-a
easy
math
0
votes
1
answer
Derivative of $x^2$ w.r.t $x^3$ is _____________.
asked
Jan 3, 2013
by
sreemathi.v
cbse
class12
ch5
q98
p116
fitb
exemplar
sec-b
easy
math
0
votes
1
answer
If $f(x)=\mid \cos x-\sin x\mid,then\;f'(\frac{\pi}{3})$=__________.
asked
Jan 3, 2013
by
sreemathi.v
cbse
class12
ch5
q100
p116
fitb
exemplar
sec-a
easy
math
0
votes
1
answer
True or False: The composition of two continuous functions is a continuous function.
asked
Jan 3, 2013
by
sreemathi.v
cbse
class12
ch5
q104
p116
true-or-false
exemplar
sec-a
easy
math
0
votes
1
answer
True or False: Trigonometric and inverse-trigonometric functions are differentiable in their respective domain.
asked
Jan 3, 2013
by
sreemathi.v
cbse
class12
ch5
q105
p116
true-or-false
exemplar
sec-a
easy
math
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...