f(x) is not differentiable at x=c if either `Lf'( c )neRf'( c )` [if they both exist]
or Lf'( c ) exists but Rf'(c)does not exist,
or Lf'( c ) does not exists, Rf' exists, then f(x) is not continuous x=c.
Answer the following questions based on above passage:
Let f(x)=sin|x|-|x|, then Lf'(0) is equal to

Options

A. continuous as well as differentiable at x=0
B. continuous at x=0, but not differentiable at x=0
C. neither continuous at x=0 nor differentiable at x=0
D. none of these

Answer

B