Consider the function\({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {{{\rm{x}}^2}{\rm{ln}}\left| {\rm{x}} \right|}&{{\rm{x}} \ne 0}\\ 0&{{\rm{x}} = 0} \end{array}} \right.\)What is f’(0) equal to?

Consider the function\({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\beg

1.	Consider the function\({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {{{\rm{x}}^2}{\rm{ln}}\left\| {\rm{x}} \right\|}&{{\rm{x}} \ne 0}\\ 0&{{\rm{x}} = 0} \end{array}} \right.\)What is f’(0) equal to?
A.	0
B.	1
C.	-1
D.	It does not exist
Answer» B. 1

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Consider the function\({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {{{\rm{x}}^2}{\rm{ln}}\left| {\rm{x}} \right|}&{{\rm{x}} \ne 0}\\ 0&{{\rm{x}} = 0} \end{array}} \right.\)What is f’(0) equal to?

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