Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If [t] denotes the greatest integer 
t, then number of points, at which the function f(x) = 4|2x + 3| + 9 
-12 [x + 20] is not differentiable in the open interval (-20, 20), is___.
Text Solution
Verified by ExpertsThe correct answer is:
79
(79)
f(x) = 4|2x + 3| + 9 
-12[x + 20]
f(x) is not Diff. at x = I 
{-19, -18, ....0,...19} = 39
at x = I + 
, f(x) Non diff. at 39 points r
Check at x = 
Discount at x = 
N. R(1)
No. of point of non-differentiabilty = 39 + 39 + 1 = 79
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