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The function f satisfying (f(b)-f(a))/(b...

The function f satisfying `(f(b)-f(a))/(b-a)nef'(x)` for any `"x"in(a,b)` is

A

`f(x)=x^(1//3),a=-1,b=1`

B

`f(x)=x|x|:a=-1,b=1`

C

`f(x)=1/x:a=1,b=4`

D

None of these

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The correct Answer is:
B
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