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If f(x) =   then
  • a)
    Rolle’s theorem does not apply to f in [-1,1]
  • b)
    Rolle’s theorem apply to f in [-1, 1]
  • c)
    f is not continuous at x = 0 
  • d)
    f'(0) = 0
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If f(x) =thena)Rolle’s theorem does not apply to fin [-1,1]b)Rol...
Given that,
f(x) =
 
Clearly the given function is not differentiable at x = 0. Therefore, Roll’s theorem does not apply to f in [-1,1]
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If f(x) =thena)Rolle’s theorem does not apply to fin [-1,1]b)Rol...
Given that,
f(x) =
 
Clearly the given function is not differentiable at x = 0. Therefore, Roll’s theorem does not apply to f in [-1,1]
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Community Answer
If f(x) =thena)Rolle’s theorem does not apply to fin [-1,1]b)Rol...
Given that,
f(x) =
 
Clearly the given function is not differentiable at x = 0. Therefore, Roll’s theorem does not apply to f in [-1,1]
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If f(x) =thena)Rolle’s theorem does not apply to fin [-1,1]b)Rolle’s theorem apply to f in [-1, 1]c)f is not continuous at x = 0d)f'(0) = 0Correct answer is option 'A'. Can you explain this answer?
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