Show that y=log(1+x)−2+x2x,x≻1, is an increasing function of x throughout its domain.

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Show that {y}={{{({1}+{x})}}}-{{{2}{x}}}{{{2}+{x}}},{x}{1}, is

Question

Show that $y = lo g (1 + x) - \frac{2 x}{2 + x}, x ≻ 1$ , is an increasing function of x throughout its domain.

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Elizabeth Discussed

Show that

y = lo g (1 + x) - \frac{2 x}{2 + x}, x ≻ 1

, is an increasing function of x throughout its domain.

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Question Text

Show that

y = lo g (1 + x) - \frac{2 x}{2 + x}, x ≻ 1

, is an increasing function of x throughout its domain.