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True or False : Rolle's Theorem is app...

True or False :
Rolle's Theorem is applicable to the function `f(x) = |sin x| `in`[-pi/2,pi/2]`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. True or False : d/(dx) (log|x|) = 1/x for all x ne 0

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  2. If f is continuous on its domain D, then |f| is also continuous on D.

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  3. True or False : Rolle's Theorem is applicable to the function f(x) =...

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  4. Verify the truth of Rolle's Theorem for the following functions: f(X...

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  5. True or False : The function f(x) = log x^2 has only one point of di...

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  6. The composition of two continuous function is a continuous function.

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  7. true false: cos|x| is differentiable every where.

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  8. True or False : The function f(x) = {:{(x+a, xge1),(ax^2 +1, x <1):}...

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  9. True or False : The function f(x) = |sinx| is differetiable at all ...

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  10. Find ainR so that f(x) = {:{(x^2, x ge0),(ax,x<0):} is continuous at 0...

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  11. For continuity, at x=a, each of lim(xtoa^(+))f(x) and lim(xtoa^(-))f(x...

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  12. True or False : d/(dx) (log10x) = 1/x for all x >0

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  13. True or False : If underset(x rarr a)Lt f(x)g(x) exists then both un...

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  14. If f*g is continuous at x=a, then f and g are separately continuous at...

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  15. All trigonometric functions have inverse over their respective domains...

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  16. True or False : An increasing function is always a continuous functi...

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  17. True or False : The function f(x) = |x-1| is a continuous function.

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  18. True or False : Derivative of an even function is always an odd func...

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  19. Match the following:

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  20. limxrarr0 (e^x - 1)/x is equal to :

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