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If f: R rarr R is defined by f(x)=(x)/(x...

If `f: R rarr R` is defined by `f(x)=(x)/(x^(2)+1)` find f(f(2))

A

f(x) is decreasing on (-1, 1) and has a local minimum at x =1

B

f(x) is increasing on (-1, 1) and has local maximum at x =1

C

f(x) is increasing on (-1, 1) and has neither a local maximum nor a local minimum at x =1

D

f(x) is decreasing on (-1,1) but has neither a local maximum nor a local minimum at x =1

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The correct Answer is:
A
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