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Let f(x)={0 for x=0 x^2 sin (pi/x) for ...

Let `f(x)={0 ` for `x=0 x^2 sin (pi/x)` for `-1 < x < 1(x != 0),` then : `x |x|` for `x > 1` or `x <-1`

A

`f(x)` is an odd function

B

`f(x)` is an even function

C

`f(x)` is neither odd nor even

D

`f'(x)` is an even function

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The correct Answer is:
A, D
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