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A differentiable function f(x) satisfies...

A differentiable function f(x) satisfies `f(0)=0 and f(1)=sin1`, then (where f' represents derivative of f)

A

`f'(c )=cosc, AA c in[0, 1]`

B

`f'(c )=cosc , AA c in [0, 1]`

C

`f'(c )=-cos c, AA cin [0, 1]`

D

`f' (c )=2cos c, AA c in [0, 1]`

Text Solution

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The correct Answer is:
B
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