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Show that y=log(1+x)-(2x)/(2+x), x gt -1...

Show that `y=log(1+x)-(2x)/(2+x), x gt -1`, is an increasing function of x throughout its domain.

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

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  2. Find the intervals in which function f given by f(x)=2x^(3)-3x^(2)-36x...

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

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

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

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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 function of...

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

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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 is 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 given by f(x)=x^(2)+a...

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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 o...

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

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

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