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

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

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V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the intervals in which the function f given f(x)=2x^2-3x is Str...

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

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

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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 in...

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

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

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

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  11. Let I be any interval disjoint from (-1,1) Prove that the function f g...

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  12. Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2...

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  13. Prove that the function f given by f(x)=log cos x is strictly decreasi...

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

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

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  16. Find the slope of the tangent to the curve 'y=x^3-x' at 'x=2'.

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

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  18. Find the equation of all lines having slope 2 and being tangent to the...

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  19. Find points on the curve x^2/4+y^2/25=1 at which the tangents are para...

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  20. Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3)) at ...

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