Differentiability of Greatest Integer Function … | ExamDuo
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Continuity and Differentiability
Hard
Differentiability of Greatest Integer Function
If
[
t
]
denotes the greatest integer
≤
t
, then the number of points, at which the function
f
(
x
)
=
4
|
2
x
+
3
|
+
9
[
x
+
1
2
]
−
12
[
x
+
20
]
is not differentiable in the open interval
(
−
20
,
20
)
, is ________.
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