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If f(x)= | log10x| then at x=1....

If `f(x)= | log_10x|` then at `x=1.`

A

f(x) is continuous and `f'(1^(+))=log_(10)e, f'(1^(-))=-log_(10)e`

B

f(x) is continuous and `f'(1^(+))=log_(10)e, f'(1^(-))=log_(10)e`

C

f(x) is continuous and `f'(1^(-))=log_(10)e, f'(1^(+))=-log_(10)e`

D

None of these

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