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.