Discuss the applicability of Rolles theorem for the following functions on the indicated intervals: $f\left(x\right)=\left|x\right|\in \left[-1,1\right]$$f\left(x\right)=3+{\left(x-2\right)}^{2/3}$ in [1,3] $f\left(x\right)=\tan \xi n\left[0,\pi \right]$$f\left(x\right)=\log \left\{\frac{x^2+ab}{x\left(a+b\right)}\right\}$ in $\left[a,b\right],where\prec a<b$

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