If f (x)= max. (x ^(4), x ^(2) ,(1)/(81)...

If `f (x)= max. (x ^(4), x ^(2) ,(1)/(81))AAx in [0, oo),` then the sum of square of reciprocal of all the values of x where f (x) is non-differentiable, is equal to:

A

1

B

81

C

82

D

`82/81`

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The correct Answer is:

C

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