Functions Question 600

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

[MNR 1995]

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

Function $ f(x)=|x-0.5|+|x-1|+\tan x $ does not have a derivative at the points $ x=0.5,1,,\frac{\pi }{2}\in (0,,2) $ .