TS EAMCET · Maths · Application of Derivatives
If \(f(x)=\left\{\begin{array}{cc}x, & 0 \leq x \leq 1 \ 2-x, & 1 \leq x \leq 2\end{array}, \quad\right.\) then Rolle's theorem is not applicable to \(f(x)\) because
- A \(f(x)\) is not defined everywhere on \([0,2]\)
- B \(f(x)\) is not continuous on \([0,2]\)
- C \(f(x)\) is not differentiable on \((1,2)\)
- D \(f(x)\) is not differentiable on \((0,2)\)
Answer & Solution
Correct Answer
(D) \(f(x)\) is not differentiable on \((0,2)\)
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