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Study23

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

  • one year ago
  • one year ago

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  1. Dido525
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    I would make it a negative exponent.

    • one year ago
  2. Dido525
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    |dw:1352344215249:dw|

    • one year ago
  3. Dido525
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    Can you do it now?

    • one year ago
  4. Study23
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    I'll give it a try. Thanks for the hint, @Dido525!

    • one year ago
  5. Dido525
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    Welcome :) .

    • one year ago
  6. Dido525
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    Let me know what you get.

    • one year ago
  7. Study23
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    \(\ \Huge \text{Okay. We're both 63 :)} \)

    • one year ago
  8. Dido525
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    63?

    • one year ago
  9. Study23
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    \(\ \text{Not age, of course (though I have no way of knowing...); I was referring to SmartScore.} \)

    • one year ago
  10. Study23
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    SmartScore*

    • one year ago
  11. Dido525
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    Ohh...

    • one year ago
  12. Study23
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    \(\ \large \text{Okay, so I got: }\) \(\ \Huge -3(t^4+1)^{-4}+4t^3, \) \(\ \Large\text{Is that correct?} \)

    • one year ago
  13. Babyslapmafro
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    Close, but that is not correct.

    • one year ago
  14. Study23
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    @Babyslapmafro \(\ \Large\text{Where did I go wrong?} \)

    • one year ago
  15. Babyslapmafro
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    You must multiply the derivative of the outside by the derivative of the inside, you added the two.

    • one year ago
  16. Dido525
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    You must multiply not add.

    • one year ago
  17. Study23
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    \(\ \Huge \text{?} \)

    • one year ago
  18. Study23
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    \(\ \Huge \text{Where?} \)

    • one year ago
  19. Babyslapmafro
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    You must multiply the derivative of the quantity (t^4+1) to the derivative of the outside function.

    • one year ago
  20. Dido525
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    |dw:1352344924295:dw|

    • one year ago
  21. Study23
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    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!

    • one year ago
  22. Dido525
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    Welcome :) .

    • one year ago
  23. Babyslapmafro
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    \[-\frac{ 12t^3 }{ (t^4+1)^4 }\]

    • one year ago
  24. Babyslapmafro
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    That is the answer in a more simplified "cleaner" format.

    • one year ago
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