Let a 
Z and [t] be the greatest integer 
t, then the number of points, where the function f(x)=[a + 13 sinx], 
is not differentiable, is
Text Solution
Verified by Experts25
(25)
Given,
f(x) = [a + 13 sinx], 
f(x) = [13 sinx] + a, as a 
Integer
Now let g(x) = 13 sinx, now plotting the diagram ofy= 13 sinx we get,
Now from above diagram we can see that,
f(x) =[13 sinx] is not differentiable at intersection points of y = k, k 
[1,13] &k 
Z
Points of non-differentiability= 12 x 2 + 1 = 25
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