A community for students.
Here's the question you clicked on:
 0 viewing
calyne
 3 years ago
Find all points on the curve x^2 * y^2 + xy = 2 where the slope of the tangent line is 1.
calyne
 3 years ago
Find all points on the curve x^2 * y^2 + xy = 2 where the slope of the tangent line is 1.

This Question is Closed

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0I got the derivative already: y' = (2xy^2  y)/(2x^2 * y + x) ...=1 so how do I solve for those points?

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0right coulda guessed that much and

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0I think you substitute 1 for all values of y.

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0Then you solve. I think. Check your answers afterwards to see it I was right.

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0for all values of y', we should have 1

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0wait, I figured it out for a circle.

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.0x^2+y^2=sqrt(2) 2x+2yy'=0 y'=1 because the slope=1 2x2y=0 x=y so we have to equations x=y x^2+y^2=sqrt2
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.