Homework Help: cal

Posted by Melba on Tuesday, September 26, 2006 at 8:51pm.

Equations of the tangent lines to hyperbola xy=1 that pass through point (-1,1)
I know the graph of y=1/x but not sure about the tangent lines at given point. Are the lines tangent to (1,1) and (-1,-1)?

You're correct, the graph is y=1/x, so find y' to get the slope at any point on the graph (except the origin). I only found one tangent line through (-1,1), I'm not sure what other point the question has in mind.

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