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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 decreasing on (– 1, 1).

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NCERT BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.2
  1. Find the intervals in which the function f given by f(x) = 2x^(2) – 3x...

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  2. Find the intervals in which the function f given by f(x) = 2x^(3) – 3x...

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  3. Find the intervals in which the functions are strictly increasing or ...

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  4. Find the intervals in which the functions are strictly increasing or ...

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  5. Find the intervals in which the functions are strictly increasing or ...

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  6. Find the intervals in which the functions are strictly increasing or ...

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  7. Find the intervals in which the functions are strictly increasing or ...

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  8. Show that y= log (1+x) -(2x)/(2+x) , x gt -1 is an increasing functio...

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  9. Find the values of x for which y = [x(x – 2)]^(2) is an increasing fu...

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

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  11. Prove that the logarithmic function is increasing on (0, oo).

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

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  13. Which of the following functions are decreasing on 0,(pi)/(2) ?

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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^(...

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  16. Let I be any interval disjoint from [–1, 1]. Prove that the function f...

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  17. Prove that the function f given by f(x) = log sin x is increasing on (...

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

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  19. Prove that the function given by f(x) = x^(3) – 3x^(2) + 3x – 100 is i...

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  20. The interval in which y = x^(2) e^(–x) is increasing is

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