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Examine if Rolle's theorem is applicable...

Examine if Rolle's theorem is applicable to any of the following functions. Can you say some thing about the converse of Rolle's theorem from these example?
`f(x) = x^(2)-1 " for "x in [1, 2]`.

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The correct Answer is:
`f(x)= [x], x in [-2, 2]`
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.8
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  2. Examine if Rolle's theorem is applicable to any of the following funct...

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  3. Examine if Rolle's theorem is applicable to any of the following funct...

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  4. Examine if Rolle's theorem is applicable to any of the following funct...

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  5. If f: [-5, 5] rarr R is a differentiable function and if f'(x) does no...

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  6. Verify Mean Value Theorem, if f(x)= x^(2)-4x-3 in the interval [a, b] ...

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  7. Verify Mean Value Theorem, if f(x)= x^(3)-5x^(2)-3x in the interval [a...

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  8. Examine the applicability of Mean Value Theorem for all three function...

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  9. Examine the applicability of Mean Value Theorem for all three function...

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  10. Examine the applicability of Mean Value Theorem for all three function...

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  11. Verify Rolle's theorem for the function f(x)= x^(2) + 2x-8, x in [-4, ...

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  12. Examine if Rolle's theorem is applicable to any of the following funct...

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  13. Examine if Rolle's theorem is applicable to any of the following funct...

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  14. Examine if Rolle's theorem is applicable to any of the following funct...

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  15. If f: [-5, 5] rarr R is a differentiable function and if f'(x) does no...

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  16. Verify Mean Value Theorem, if f(x)= x^(2)-4x-3 in the interval [a, b] ...

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  17. Verify Mean Value Theorem, if f(x)= x^(3)-5x^(2)-3x in the interval [a...

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  18. Examine the applicability of Mean Value Theorem for all three function...

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  19. Examine the applicability of Mean Value Theorem for all three function...

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  20. Examine the applicability of Mean Value Theorem for all three function...

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