find an equation of the tangent line to the curve at the given point
(hyperbola)
using the quotient rule
so
the given answer is
but did not see how this was derived (providing my y' was correct)
find an equation of the tangent line to the curve at the given point
(hyperbola)
using the quotient rule
so
the given answer is
but did not see how this was derived (providing my y' was correct)
I assume you meant to say the given answer is
This makes sense with your result, as the slope of the line matches the slope you solved for.
However, you need more information than just the slope. You can use the point-slope form of a line:
In your case, and , so:
Solving for y gives: