Limits Continuity And Differentiability Question 105
Question: The number of points at which the function $ f(x)=| x-0.5 |+| x-1 |+\tan x $ does not have a derivative in the interval (0, 2) is
Options:
A) 0
B) 1
C) 2
D) 3
Show Answer
Answer:
Correct Answer: D
Solution:
$ | x-a | $ is not differentiable at x = a. Also tan x is not differentiable if $ x=(2k+1)\frac{\pi }{2},k\in I $
$ \therefore $ In the interval (0, 2), f(x) is not derivable at $ x=0.5,x=1 $ and $ x=\frac{\pi }{2} $
BETA
