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If f: [-5, 5] rarr R is a differentiable...

If `f: [-5, 5] rarr R` is a differentiable function and if f'(x) does not vanish anywhere, then prove that `f(-5) ne f(5)`

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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.8
  1. Verify Rolle's theorem for the function f(x)= x^(2) + 2x-8, x in [-4, ...

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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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