Question: The algebraic function is a root of the equation Show that x = 4y/(y 1) 2 and hence that y = (1+x)-1, x>-1 (1

The algebraic function

y = (1+x)-1, x>-1 (1 + x) + 1

is a root of the equation

xy2(2 + x)y + x = 0

Show that x = 4y/(y – 1)2 and hence that

dy dx (y-1)3 4(y + 1) || < 1

y = (1+x)-1, x>-1 (1 + x) + 1

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