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Check whether the conditions of Rolle's ...

Check whether the conditions of Rolle's theorem are satisfied by the following functions or not :
`f(x)=(x-1)(x-2)(x-3),x in [1, 3]`

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-APPLICATIONS OF DERIVATIVES -Examples for Practice
  1. Find the approximate value of :e^2.1 given that e^2=7. 389

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  2. Check whether the conditions of Rolle's theorem are satisfied by the f...

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  3. Check whether the conditions of Rolle's theorem are satisfied by the f...

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  4. Check whether the conditions of Rolle's theorem are satisfied by the f...

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  5. If Rolle's theorem holds for the function f(x)=ax^(3)+bx^(2)+5x+1, x...

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  6. Verify LMVT for the following functions on the intervals shown agains...

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  7. Verify LMVT for the following functions on the intervals shown agains...

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  8. Find c, if LMVT is applicable for f(x)=(x-3)(x-6)(x-9), x in [3, 5].

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  9. Verify Rolle's theorem for each of the following functions : f(x) = ...

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  10. Test whether the following funtions are increasing or decreasing : f...

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  11. Test whether the following funtions are increasing or decreasing : f...

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  12. Find the values of x such that f(x)=x^(3)+12x^(2)+36x+6 is an increasi...

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  13. Find the values of x such that f(x)=2x^(3)-9x^(2)+12x+2 is a decreasin...

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  14. Find the values of x if f(x)=(x)/(x^(2)+1) is an increasing function

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  15. Find the values of x if f(x)=(x)/(x^(2)+1) is a decreasing function.

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  16. Examine the following functions for maxima and minima : f(x)=2x^(3)-...

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  17. Examine the following functions for maxima and minima : f(x)=x^(2)+(...

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  18. Examine the following functions for maxima and minima : f(x)=3x^(3)-...

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  19. Examine the following functions for maxima and minima : f(x)=x^(2)e^...

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  20. Examine the following functions for maxima and minima : Show that f(...

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