Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Study23

  • 2 years ago

I'm stuck on this (Chain Rule!!) Differentiation problem: \(\ \Huge \frac{1}{(t^4+1)^3} .\)

  • This Question is Closed
  1. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I would make it a negative exponent.

  2. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1352344215249:dw|

  3. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Can you do it now?

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

    I'll give it a try. Thanks for the hint, @Dido525!

  5. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Welcome :) .

  6. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Let me know what you get.

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

    \(\ \Huge \text{Okay. We're both 63 :)} \)

  8. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    63?

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

    \(\ \text{Not age, of course (though I have no way of knowing...); I was referring to SmartScore.} \)

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

    SmartScore*

  11. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ohh...

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

    \(\ \large \text{Okay, so I got: }\) \(\ \Huge -3(t^4+1)^{-4}+4t^3, \) \(\ \Large\text{Is that correct?} \)

  13. Babyslapmafro
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Close, but that is not correct.

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

    @Babyslapmafro \(\ \Large\text{Where did I go wrong?} \)

  15. Babyslapmafro
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You must multiply the derivative of the outside by the derivative of the inside, you added the two.

  16. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You must multiply not add.

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

    \(\ \Huge \text{?} \)

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

    \(\ \Huge \text{Where?} \)

  19. Babyslapmafro
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You must multiply the derivative of the quantity (t^4+1) to the derivative of the outside function.

  20. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1352344924295:dw|

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

    Oh! Wrong sign. Thanks for pointing that out. The answers in the book in the back say this is the correct answer (with a multiplication sign). Thanks @Dido525 and @Babyslapmafro!

  22. Dido525
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Welcome :) .

  23. Babyslapmafro
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[-\frac{ 12t^3 }{ (t^4+1)^4 }\]

  24. Babyslapmafro
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That is the answer in a more simplified "cleaner" format.

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

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.