What Are the Tangent and Normal Lines to the Curve x^2 + xy - y^2 = 1 at (2,3)?

[koreangirl195]

Homework Statement

Find the lines that are tangent and normal to the curve x^2 + xy - y^2=1 at (2,3)

Homework Equations

Umm.. first derivative and second derivative?

The Attempt at a Solution

For the tangent line i found the first derivative and used the implicit differentiation(?)
For the normal line i found the first derivative then used the reciprocal..
im confused lol

 

[tiny-tim]

welcome to pf!

hi koreangirl195! welcome to pf!

(try using the X² icon just above the Reply box )

For the tangent line i found the first derivative and used the implicit differentiation(?)
For the normal line i found the first derivative then used the reciprocal..

(minus the reciprocal, i assume?)

yes that's fine … why are you worried about it?

(the second derivative is irrelevant)