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If (x) is differentiable in [a,b] such t...

If (x) is differentiable in `[a,b]` such that `f(a)=2,f(b)=6,` then there exists at least one `c,a ltcleb,` such that `(b^(3)-a^(3))f'(c)=`

A

`c^(2)`

B

`2c^(2)`

C

`-3c^(2)`

D

`12c^(2)`

Text Solution

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The correct Answer is:
D
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