Functions Question 599
Question: If $ f(x)=x(\sqrt{x}-\sqrt{x+1}), $ then
[IIT 1985]
Options:
A) $ f(x) $ is continuous but non- differentiable at $ x=0 $
B) $ f(x) $ is differentiable at $ x=0 $
C) $ f(x) $ is not differentiable at $ x=0 $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Since the function is defined for $ x\ge 0 $ i.e. not defined for $ x<0 $ . Hence the function neither continuous nor differentiable at $ x=0 $ .
BETA
