A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

I'm using the chain rule and i need to find the derivative of Y=((3x-2)/(6-5x))^4

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

    Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

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

    do you know how to find the derivative of \[\frac{3x-2}{6-5x}\]?

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

    that is all the hard work.

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

    then the "chain rule" will tell you that since this is something to the power of 4, its derivative will be 4 something cubed times the derivative of something. so all the work is finding the derivative of that quotient.

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

    i can write it for you if you like

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

    hello anwar. feel like writing it out?

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

    \[{d \over dx}({3x-2 \over (6-5x)^4})={3(6-5x)-4(3x-2)(6-5x)^3(-5) \over (6-5x)^8}\] Simplify!!

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

    hello satellite :)

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

    ok i will. i get \[\frac{8}{(5x-6)^2}\]

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

    The denominator is raised to the power of 4, isn't it?

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

    so back to the problem. the derivative will be \[4(\text{inside thing})^3\times \frac{8}{(5x-6)^2}\]

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

    Oh the whole thing.. my bad.

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

    no i was assuming it was the whole thing raised to the 4th. chain rule and all that.

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

    never mind my solution doshi, just stick with satellite :D

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

    inside piece just \[\frac{3x-2}{5x-6}\]

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

    Yeah.

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

    well actually it is \[\frac{3x-2}{6-5x}\]

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

    whose derivative is \[\frac{3(6-5x)+5(3x-2)}{(5x-6)^2}=\frac{8}{(5x-6)^2}\]

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

    The derivative \[y'=4({3x-2 \over 6-5x})^3{8 \over (6-5x)^2}\]

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

    bet we lost doshi somewhere

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

    probably gave up in disgust

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

    I think so :D

  23. 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.