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Home › AP EAMCET › Mathematics › Differentiation Rules › Rolle's theorem cannot be applied to |x| on [-1,…

Rolle's theorem cannot be applied to |x| on [-1, 1] because

Aits end values are different
Bits derivative is zero everywhere
Cit is not differentiable at x = 0
Dit is not continuous anywhere
Answer & Solution
Correct answer: C. it is not differentiable at x = 0
The end values are equal but the function has a corner at 0, so differentiability inside the interval fails.
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