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State Rolle's theorem. Is this theorem a...

State Rolle's theorem. Is this theorem applicable to the function `f(x)=x` in the interval `-1 le x le 1` ?

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The correct Answer is:
No
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CHHAYA PUBLICATION-DIFFERENTIATION-EXERCISE 3B (Very Short Answer Type Questions)
  1. State Rolle's theorem. Is this theorem applicable to the function f(x)...

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  2. Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)+2...

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  3. Verify the truth of Rolle's theorem for the functions: f(x)=x^(3)+5...

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  4. Verify the truth of Rolle's theorem for the functions: f(x)=(x-1)(x-...

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  5. Verify the truth of Rolle's theorem for the functions: f(x)=x^(3)-x^...

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  6. Verify the truth of Rolle's theorem for the functions: f(x)=sin^(2)...

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  7. Verify the truth of Rolle's theorem for the functions: f(x)=cos^(2)...

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  8. Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-x...

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  9. Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-5...

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  10. Verify the truth of Rolle's theorem for the functions: f(x)=cosx " ...

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  11. Verify the truth of Rolle's theorem for the functions: f(x)=sin3x "...

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  12. Verify the truth of Rolle's theorem for the functions: f(x)=e^(-x)s...

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  13. Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-4...

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  14. Verify the truth of Rolle's theorem for the functions: f(x)=sinx-si...

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  15. Show that Rolle's theorem is not applicable to the following functions...

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  16. Show that Rolle's theorem is not applicable to the following functions...

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  17. Show that Rolle's theorem is not applicable to the following functions...

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  18. Show that Rolle's theorem is not applicable to the following functions...

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  19. Show that Rolle's theorem is not applicable to the following functions...

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  20. Lagrange's mean value theorem is , f(b)-f(a)=(b-a)f'(c ), a lt c lt ...

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