A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Find the equation of the tangent line: yx^2+xy^2=6, (1, 2). Can anyone explain the steps of implicit differentiation?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y'x^2+y(2x)+x(2yy')+y^2=0

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thats the first step right?

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y'(x^2+2xy)=-(2xy+y^2) y'=-y(2x+y)/x(x+2y)

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    m=y'(at (1,2))=-6/5

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    tangent line is y-2=-6/5(x-1)

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    On the key it says the slope is -8/5

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh mistake in computations

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -8/5 is the right ans

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So implicit differentiation, can you quickly verbally go through it, what steps do you do?

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    for yx^2 use product rule (derivative of y)x^2+(derivative of x^2) y

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y'x^2+2xy....clear?

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    similar for the second term

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OHHHHH!!!! I SEEEEEEE!!!!

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    THANK YOU SO MUCH! I really appreciate it :D

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    u welcome:)

  16. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.