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Byju's Answer
Standard XII
Mathematics
Differentiability in an Interval
The function ...
Question
The function
y
=
∣
∣
|
x
−
1
|
−
1
∣
∣
is differentiable for all real numbers except the points
A
{0, 1, 2}
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B
{0, 1}
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C
{1, 2}
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D
{-1, 1}
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Solution
The correct option is
A
{0, 1, 2}
Clearly, the given function f(x) is not differentiable at the points x = 0, 1 and 2.
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0
Similar questions
Q.
The function given by
y
=
|
|
x
|
−
1
|
is differentiable for all real numbers except the points.
Q.
The function
y
=
|
|
x
|
−
1
|
is differentiable for all
x
ϵ
R
except for the values
Q.
Let
f
(
x
)
=
x
|
sin
x
|
,
x
∈
R
. Then
Q.
Let
y
=
f
(
x
)
be a real-valued differentiable function on the set of all real numbers
R
such that
f
(
1
)
=
1
. If
f
(
x
)
satisfies
x
f
′
(
x
)
=
x
2
+
f
(
x
)
−
2
, then
Q.
Show that the function
f
(
x
)
=
|
x
−
1
|
+
|
x
+
1
|
, for all
x
∈
R
, is not differentiable at the points
x
=
−
1
and
x
=
1
.
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