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Prove that the function f given by f(x)=...

Prove that the function f given by `f(x)=x^(2)-x+1` is neither strictly increasing nor strictly decreasing on `(-1, 1)`.

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-NCERT - FILE (Question from NCERT Book) (Exercise 6.2)
  1. Find the intervals in which the function f given by f(x)=2x^2-3xis(a) ...

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  2. Find the intervals in which the fucntion 'f' given by f(x)=x^(3)-3x^(2...

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  3. Find the invervals in which the following functions are strictly incre...

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  4. Find the invervals in which the following functions are strictly incre...

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  5. Find the invervals in which the following functions are strictly incre...

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  6. Find the invervals in which the following functions are strictly incre...

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  7. Find the invervals in which the following functions are strictly incre...

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  8. Show that y=log(1+x)-(2x)/(2+x), x >-1, is an increasing function of x...

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  9. The functiony=5+36x+3x^(2)-2x^(3) is increasing in the interval.

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  10. Prove that y=(4sin theta)/((2+sin theta))-theta is an increasing funct...

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  11. Prove that the exponential function is strictly increasing on R.

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  12. Prove that the function f given by f(x)=x^(2)-x+1 is neither strictly ...

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  13. Which of the following functions are strictly increasing on (0, (pi)/(...

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  14. On which of the following intervals is the function 'f' given by f(x)=...

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  15. Find the least value of a such that the function f given by f(x)=x^2+...

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  16. Let I be an interval disjointed from [-1,\ 1] . Prove that the functio...

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  17. Prove that the function 'f' given by f(x)=logsinx is strictly increasi...

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  18. Prove that the function f given by f(x)=log cos x is strictly decreasi...

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  19. Prove that the function given by f(x)=2x^(3)-6x^(2)+7x is strictly inc...

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  20. The interval in which y=x^(2)e^(-x) is decreasing is :

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