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Discuss the applicability of Rolles t...

Discuss the applicability of Rolles theorem for the function `f(x)=3+(x-2)^(2//3)` on `[1,\ 3]`

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`f(x)=3+(x−2)^(2/3) on [1.3]`
As the function is algebraic, so it is continuous in` [1,3]` and differentiable in` (1,3).`
Now, for` f’ (c)=0`
`f’(x)=(2/3)(x-2)^(-1/3)` ...
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