How do you find the equations of the tangent lines to the curve #y= (x-1)/(x+1)# that are parallel to the line #x-2y = 2#?
Find the equations of the tangent lines to the curve
There is a bit of algebra and arithmetic for this. Let's focus on the reasoning and the calculus.
A line parallel to
How do we find the slope of the tangent line? -- The derivative. So, we want the derivative to be
What is the derivative of
Use the quotient rule:
Find the equations of the lines:
Have a look:
which gives yu two equations: