Limits, Continuity and Differentiability Part 2

Section: Mathematics
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Question : 72 of 100
 
Marks: +1, -0
Let a function g:[0,4]→R be defined as
g(x)={
max
0≤t≤x
{t3−6t2+9t−3}
,
0≤x≤3
4−x,3<x≤4
then the number of points in the interval (0,4)where g(x) is NOT differentiable, is _______.
[20 Jul 2021 Shift 2]
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