A) 0
B) 1
C) \[f'(1)\]
D) \[f'\,'(1)\]
Correct Answer: A
Solution :
\[f(x)=|x{{|}^{3}}\] \[f(x)=\left\{ \begin{matrix} {{x}^{3}}, & x>0 \\ 0, & x=0 \\ -{{x}^{3}}, & x<0 \\ \end{matrix} \right.\] \[\Rightarrow \] \[f'(x)=\left\{ \begin{matrix} 3{{x}^{3}}, & x>0 \\ 0, & x=0 \\ -3{{x}^{2}}, & x<0 \\ \end{matrix} \right.\]
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