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Find the interval of monotonicity of y= ...

Find the interval of monotonicity of `y= (1-x +x^(2))/(1 + x + x^(2))`

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The correct Answer is:
increasing in ` ( - oo , -1) uu (1,oo)` , decreasing in (-1,1)
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ML KHANNA-FUNCTIONS-PROBLEM SET (4)
  1. On which of the following intervals is the function f(x)=2x^2 - log |...

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  2. y=[ x(x - 3)^2 ] increases for all values of x lying in the ...

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  3. Let f(x)=inte^x (x - 1)(x-2) dx. Then f decreases in the interval

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  4. Let f (x) = x^3 + ax^2 + bx + 5 sin^2 x be an increasing function on t...

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  5. If f(x) =( lamda^2-1)/( lamda^2 +1) x^3 - 3x +5 is a decreasing f...

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  6. Let f (x) = x^3 +6x^2 + px + 2. If the largest possible interval in w...

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  7. If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5)) represents an ellipse with major a...

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  8. The function f (x) = loge (x^3 + sqrt(x^6 +1)) is of the following t...

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  9. The function f(x) = cos (pi / x) is decreasing in the interval

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  10. The function f (x) = sin^4 x+cos^4 x increases if

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  11. Let f (x) = {{:( x^(3) - x^(2) + 10 x- 5 , "," , x le 1), ( -2x + log ...

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  12. The set of all x for which log (1 + x) le x is

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  13. For all x in (0,1)

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  14. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

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  15. A function is matched below against an interval where it is supposed t...

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  16. The function f(x) = ( log ( pi +x))/( log ( e +x)) is a decreasing fu...

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  17. The function y=(x)/(x^2 - 6x -16 ) is a decreasing function in R-{-2,...

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  18. The function y=sin^(-1) (1+x) increases in -2 lt x lt 0. Is it true?

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  19. The larger of log (1 + x) and ( tan^(-1) x)/(1 +x) when x>0 is .........

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  20. Find the interval of monotonicity of y= (1-x +x^(2))/(1 + x + x^(2))

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