Limits Continuity And Differentiability Question 83

Question: The set of all points where $ f(x)=\sqrt[3]{x^{2}| x |}-| x |-1 $ is not differentiable is

Options:

A) {0}

B) $ { -1,0,1 } $

C) {0, 1}

D) none of these

Show Answer

Answer:

Correct Answer: D

Solution:

$ f(x)=\sqrt[3]{{{| x |}^{3}}}-| x |-1 $

or $ | x |-| x |-1=-1 $

Hence, differentiable for all x.