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.

## Answer this Question

## Related Questions

- Calculus - Draw a diagram to show that there are two tangent lines to the ...
- Calculus - Sketch a graph of the parabola y=x^2+3. On the same graph, plot the ...
- calculus - Determine the equations of two lines that pass through the point (1...
- cal - find the equation of a quadratic function whose graph is tangent at x=1 to...
- Calc - 1.) Evaluate Lim x->0 (tanx/x) 2.) Find the equations of the lines ...
- calculus - find equations of the tangent lines to the curve y=x/(x+5) that pass ...
- Calculus - (A) Find the equations of the tangent lines to the circle x^2 +y^2=25...
- calculus - f(x)=kx^2+3 a) if the tangent lines to the graph of f at (t,f(t)) and...
- calculus - Two lines through the point(1,-3) are tangent to the curve y=x2. Find...
- Tangent Lines (2)-Calculus - find an equation of the line tangent to y= sqrt(25-...