The Rolle's theorem is not applicable to f(x) = \\begin{array}{cc}x{ &\end{array}, 0\leqx\leq1; {2-x}{,}, 1\leqx\leq2 on [0,2]

Correct Answer is : f(x) is not differentiable

TS EAMCET 5-Aug-2021 Shift 1 Question Paper

Section: Mathematics

Question : 74 of 160

Marks: +1, -0

The Rolle's theorem is not applicable to f(x) = {

x,	0≤x≤1
2−x,	1≤x≤2

on [0,2]

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x	‌ if ‌	0≤x≤1
2−x	‌ if ‌	1≤x≤2.