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

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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ARIHANT PUBLICATION-SAMPLE PAPER 4-Short Answer Type Questions
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  6. Show that y = log (1+ x) - (2x) /( 2+x) , x gt -1 is an increasing fun...

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  8. If y sqrt( 1 - x^(2) ) + x sqrt ( 1 - y^(2) ) = 1, prove that (dy)/( d...

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  11. Solve the differential equation (x^(2) - y^(2) ) dx + 2xy dy =0.

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  12. Find the area of region included between the parabola 4y = 3x^(2) and ...

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  13. Evaluate int(0)^(pi//3) (sec x . tanx )/( 1+ sec^(2) x) dx.

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