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let f(x)=(sin4pi[x])/(1+[x]^(2)), where ...

let `f(x)=(sin4pi[x])/(1+[x]^(2))`, where px] is the greatest integer less than or equal to x then

A

f(x) is not differentiable at some points

B

f'(x) exits but is different from zero

C

f'(x) for all x

D

f'(x)=0 but f is not a constant

Text Solution

Verified by Experts

The correct Answer is:
C
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