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

Study23

Implicit Differentiation? Don't Understand it :( PLEASE HELP! Here's the problem I am looking at: \(\ \large x^3+x^2y+4x^2=6 .\) Find \(\ \frac{dy}{dx}. \) Please show me STEP by STEP!!

  • one year ago
  • one year ago

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

    3x^2+2xy+2x dy/dx +8x= 0 then isolate dy/dx and simplify from there. Do you get that or need me to explain it?

    • one year ago
  2. Study23
    Best Response
    You've already chosen the best response.
    Medals 0

    Could you explain it to me please?

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

    Are you familiar with the derivative rules?

    • one year ago
  4. Study23
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes

    • one year ago
  5. Ventricate
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok so the first part 3x^2 is from the normal derivative way and then when we move on to derive x^2y we have to use the product rule : (x^2)(y) The product rule I hope you know already is (a'(x)*b)+(a*b'(x)) for ab respectively. Do you understand up to here?

    • one year ago
  6. Study23
    Best Response
    You've already chosen the best response.
    Medals 0

    How does the product rule look like when you derive \(\ x^2y?\)

    • one year ago
  7. Ventricate
    Best Response
    You've already chosen the best response.
    Medals 1

    It should be f'(x) *y + f(x) *y'. Derivative of x^2 is 2x and derivative of y is dy/dx.

    • one year ago
  8. Study23
    Best Response
    You've already chosen the best response.
    Medals 0

    Could you show me the product rule in terms of \(\ x^2y \text{, please?}\)

    • one year ago
  9. Ventricate
    Best Response
    You've already chosen the best response.
    Medals 1

    Sure (2x)(y) +(x^2)(dy/dx)

    • one year ago
  10. Study23
    Best Response
    You've already chosen the best response.
    Medals 0

    What does the dy/dx mean? dy/dx of x^2? or y?

    • one year ago
  11. Study23
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm REALLY Confused BY this! !

    • one year ago
  12. Ventricate
    Best Response
    You've already chosen the best response.
    Medals 1

    it's the derivative of y

    • one year ago
  13. Ventricate
    Best Response
    You've already chosen the best response.
    Medals 1

    Let's say you had y^3 you would derive it as \[3y^2 \frac{ dy }{ dx }\]

    • one year ago
  14. Study23
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay

    • 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.