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

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

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A N EXCEL PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the intervals in which the following functions are strictly incre...

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  2. Find the intervals in which the function f(x)=(x+1)^3(x-3)^3 strictly ...

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  3. Show that y = log(1+x)-(2x)/(2+x) ,x > -1 is an increasing function of...

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  4. Find the value of x for which y=[x(x-2)]^2 is an increasing function.

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

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

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  7. Prove that the function f given by f(x)=x^2-x+1 is neither strictly ...

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

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

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

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  11. Prove that tan x is strictly increasing on (0,pi/2)

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  12. On which of the following intervals is the function f given by f(x)=x^...

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  13. Find the least value of a such that the function f given by f(x)=x^2+a...

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

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  15. Prove that the function f given by f(x)=logsinx is strictly increasing...

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  16. Prove that the function f given by f(x)=logcosx is strictly decreasin...

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  17. Prove that the function given by f(x)=x^3-3x^2+3x-100 in increasing in...

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  18. The interval in which y=x^2e^(-x) is increasing is a) (0,2) b) (-2,0) ...

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  19. Find the equation of the tangent and normal at the point (1,2) on the ...

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  20. Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has ...

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