A) 0
B) 1
C) ?1
D) Does not exist
Correct Answer: D
Solution :
\[y=f(x)=\left\{ \begin{align} & 1-x\ ,\ x>0 \\ & 1+x\,\,,\,\,x<0 \\ \end{align} \right.\Rightarrow f'(x)=\left\{ \begin{align} & -1\,,\,\,x>0 \\ & 1\,\,\,,\,\,\,x<0 \\ \end{align} \right.\] \[\because L[f'(0)]\ne R[f'(0)]\]; \[\therefore \]Does not exist.
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