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If f(x) = {{:(x((e^(1//x) - e^(-1//x))/(...

If `f(x) = {{:(x((e^(1//x) - e^(-1//x))/(e^(1//x)+e^(-1//x)))",",x ne 0),(" "0",",x = 0):}`, then at x = 0 f(x) is

A

differentiable

B

not differentiable

C

`f'(0^(+))=-1`

D

`f'(0^(-))=1`

Text Solution

Verified by Experts

The correct Answer is:
B
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