Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Jaweria Group Title

Find dy/dx: 4x^2+3xy^2-6x^2y=y^3.

  • one year ago
  • one year ago

  • This Question is Closed
  1. abb0t Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Using implicit differentiation with respect to x. This means that you take the derivative of everything, even y, but everytime you take the deriviative of y, you multiply it by y'. For instance:\[\frac{ dy }{ dx }(x+y) = 1+\frac{ dy }{ dx } = 1+y'\] then, using your algebra skills, rearrange to find dy/dx

    • one year ago
  2. Jaweria Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ahan ok

    • one year ago
  3. abb0t Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Remember: \[3xy^2 = 3x \frac{ d }{ dx}y^2+y^2\frac{ d }{ dx }3x\]

    • one year ago
  4. Jaweria Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I m little bit confuse here

    • one year ago
  5. cwrw238 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what you are doing is treating y as a function of x (which is implied in the expression)

    • one year ago
  6. abb0t Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Of course!

    • one year ago
  7. Jaweria Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks :-)

    • one year ago
  8. abb0t Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Start by taking the derivative as you normally would for the left side of the function. And like @cwrw238 pointed out, you're treating y as a function of x.

    • one year ago
  9. Jaweria Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

    • one year ago
  10. abb0t Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    If it helps, you can break it down to see it more clearly: \[\frac{ d }{ dx }4x^2 =\] \[\frac{ d }{ dx }3xy^2 = (3x \times \frac{ d }{ dx }y^2)+(y^2\frac{ d }{ dx }3x) = [3x \times 2y \frac{ dy }{ dx }]+[y^2 \times 3]\] \[\frac{ d }{ dx }6x^2y = \] NOW, the right side: \[\frac{ d }{ dx }y^3 = 3y^2\frac{ dy }{ dx } \]

    • one year ago
    • Attachments:

See more questions >>>

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.