Home › TS EAPCET (Engineering) › Mathematics › Application of Derivatives › Rolle's theorem cannot be applied to f(x) = |x| …
Rolle's theorem cannot be applied to f(x) = |x| on [-1, 1] because
Ait is not continuous at x = 0
Bit is not defined on [-1, 1]
Cf(-1) differs from f(1)
Dit is not differentiable at x = 0
Answer & Solution
Correct answer: D. it is not differentiable at x = 0
The graph has a sharp corner at the origin, so the derivative does not exist there even though the end values match.
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