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Let f:(-1,1)rarrR be a differentiable fu...

Let `f:(-1,1)rarrR` be a differentiable function satisfying `(f'(x))^4=16(f(x))^2` for all `x in (-1,1)`, f(0)=0. The number of such functions is

A

2

B

3

C

4

D

more than 4

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