Functions Question 183
Question: The function $ y,=,|\sin x| $ is continuous for any x but it is not differentiable at
[AMU 2000]
Options:
A) $ x=0 $ only
B) $ x=\pi $ only
C) $ x=k,\pi ,(k $ is an integer) only
D) $ x=0 $ and $ x=k,\pi ,(k $ is an integer)
Show Answer
Answer:
Correct Answer: D
Solution:
It can be easily seen from the graph of $ f(x)=,|\sin x| $ that it is every where continuous but not differentiable at integer multiples of $ \pi $ and at $ x=0 $ .
BETA
