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**1. How many tangent lines to the curve [itex]\left(y=\frac{x}{x + 1}\right)[/itex] pass through the point (1,2)? At which points do these tangent lines touch the curve?**

**2. [itex]\frac{x}{x + 1}[/itex]**

**3. I tried to use the quotient rule and came up with the equation [itex]\frac{1}{(x + 1)^{2}}[/itex]. I tried plugging in 1 to get the slope of 1/4 and the equation y = 1/4x + 7/4. I know that there are two lines, because of the square.**