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

Explanation

`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}^{\prime}({c})=0`


`f^{\prime}(x)=\frac{2}{3}(x-2)^{-1 / 3}`
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