1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Graphical Interpretation of Derivative
2. Prove that...
Question
2. Prove that the function f given by f(x)=|x-1| , x R is not differentiable at x=1 .
Open in App
Solution
Suggest Corrections
32
Similar questions
Q.
Prove that the function
f
is given by
f
(
x
)
=
|
x
−
1
|
,
x
∈
R
is not differentiable at
x
=
1
Q.
Prove that the greatest integer function defined by
f
(
x
)
=
[
x
]
,
0
<
x
<
3
is not differentiable at
x
=
1
and
x
=
2
.
Q.
Prove that greatest integer function defined by
f
(
x
)
=
[
x
]
,
0
<
x
<
3
is not differentiable at
x
=
1
Q.
If
y
=
f
(
x
)
is a differentiable function of
x
such that inverse function
x
=
f
−
1
(
y
)
exists, then prove that
x
is a differentiable function of
y
and
d
x
d
y
=
1
d
y
d
x
where
d
y
d
x
≠
0
.
Hence find
d
d
x
(
tan
−
1
x
)
Q.
Prove that the function
f
given by
is notdifferentiable at
x
= 1.
is notdifferentiable at x = 1.