A) \[\frac{x}{\left| x \right|}\]
B) \[x\left| x \right|\]
C) \[\frac{1}{\left| x \right|}\]
D) \[\frac{1}{x}\]
Correct Answer: B
Solution :
[b] Since \[\frac{x}{\left| x \right|}\] is not continuous function \[\therefore \] it is not differentiable also. Also, L.H.D. and R.H.D. at \[x=0\] not equal. Thus, only function given in option ?b? gives differentiability for all real values of x.You need to login to perform this action.
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