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For which values of x , the function f(x...

For which values of `x` , the function `f(x)=x/(x^2+1)` is increasing and for which values of `x` , it is decreasing.

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Find the intervals in which f(x)=x/2+2/x ,\ \ x!=0 is increasing or de...

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  2. Find the intervals in which the function f given by f(x)=\ x^3+1/(...

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  3. For which values of x , the function f(x)=x/(x^2+1) is increasing and ...

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  4. Find the intervals in which f (x) = 2 log (x - 2) - x^2 + 4x +1 is inc...

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  5. Separate [0,\ pi//2] into subintervals in which f(x)=sin3x is increasi...

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  6. Find the derivative of the function given by f(x)=(4sinx-2x-xcosx)/(2+...

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  7. Separate the interval [0,\ pi//2] into sub-intervals in which f(x)=sin...

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  8. Find the intervals in which the function f given by f(x)=sinx+cosx ,\...

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  9. Find f ' (x) iff(x)= sin3xcos3x

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  10. Prove that the function f(x)=x^3-3x^2+3x-100 is increasing on R .

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

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  12. Show that the function f(x)=3/x+7 is decreasing for x in R-{0} .

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  13. Show that the function x+1//x is increasing for x >1 .

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  14. Find the second order derivative of function f(x)=sinx+cosx with respe...

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  15. Prove that f(theta)=(4sintheta)/(2+costheta)-theta is an increasing fu...

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  16. Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3...

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  17. Show that f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x) is increasing on R .

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  18. Test whether the function f(x)=x^3-8 is increasing on [1,\ 2] .

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  19. Which of the following functions are decreasing on (0,\ pi//2) ? (i) c...

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  20. Prove that the function f(x)=x^2-x+1 is neither increasing nor decr...

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