Question

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In which of the following functions, Rolle's theorem is applicable?

MathematicsApplication of DerivativesWBJEEWBJEE 2010

Options:

A $f(x)=|x|$ in $-2 \leq x \leq 2$
B $\mathrm{f}(\mathrm{x})=\tan \mathrm{x}$ in $0 \leq \mathrm{x} \leq \pi$
C $\mathrm{f}(\mathrm{x})=1+(\mathrm{x}-2)^{\frac{2}{3}}$ in $1 \leq \mathrm{x} \leq 3$
D $\mathrm{f}(\mathrm{x})=\mathrm{x}(\mathrm{x}-2)^2$ in $0 \leq \mathrm{x} \leq 2$