JEE Main & Advanced
Sample Paper
JEE Main - Mock Test - 26
question_answer
Number of points of non-differentiability of the function \[f(x)=x[x]\,\{x\}\] in the interval \[[-1,2]\]is (where \[[x]\] and \[\{x\}\] denote the greatest integer function and fractional part function, respectively)
A)1
B) 2
C)3
D) 4
Correct Answer:
C
Solution :
[c] From the graph, points of non-differentiability are \[x=0,1,2.\]