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If f is an odd continuous function in [-...

If `f` is an odd continuous function in `[-1,1]` and differentiable in `(-1,1)` then

A

`f'(A)=f(1)" for some "A in (-1,0)`

B

`f'(B) =f(1)" for some "B in (0,1)`

C

`n(f(A))^(n-1)f'(A)=(f(1))^(n)" for some " A in (-1, 0), n in N`

D

`n(f(B))^(n-1)f'(B)=(f(1))^(n)" for some" B in (0,1), n in N`

Text Solution

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The correct Answer is:
A, B, D
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