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Show that f(x)=tan^(-1)x-x is decreasing...

Show that `f(x)=tan^(-1)x-x` is decreasing function on `Rdot`

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. State when a function f(x) is said to be increasing on an interval ...

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  2. Show that f(x)=sinx-cosx is an increasing function on (-pi//4,\ pi//4)...

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  3. Show that f(x)=tan^(-1)x-x is decreasing function on Rdot

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  4. Determine whether f(x)=-x//2+sinx is increasing or decreasing on (-pi/...

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  5. Find the intervals in which f(x)=log(1+x)-x/(1+x) is increasing or dec...

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  6. Find the intervals in which f(x)=(x+2)e^(-x) is increasing or decreasi...

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  7. Show that the function f given by f(x)=10^x is increasing for all x .

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  8. Prove that the function f given by f(x)=x-[x] is increasing in (0,\ 1)...

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  9. Prove that the function f(x)=3x^5+40 x^3+240 x is increasing on R .

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  10. Prove that the function f given by f(x)=logcosx is strictly increasing...

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  11. Show that the function f given by f(x)=x^3-3x^2+4x ,x in Ris strictl...

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  12. Prove that the function f(x)=cosx is strictly decreasing in (0,\ pi)

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  13. Prove that the function f(x)=cosx is strictly increasing in (pi,\ 2pi)

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  14. Prove that the function f(x)=cosx is neither increasing nor decreas...

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  15. Show that f(x)=x^2-xsinx is an increasing function on (0,\ pi//2) .

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  16. Find the value(s) of a for which f(x)=x^3-a x is an increasing functio...

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  17. Find the values of b for which the function f(x)=sinx-b x+c is a decre...

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  18. Show that f(x)=x+cosx-a is an increasing function on R for all values ...

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  19. Find the second order derivative of cotx with respect to x

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  20. Find the intervals in which f(x)=x|x|,\ \ x in R is increasing or dec...

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