anonymous
  • anonymous
I'm stuck on this (Chain Rule!!) Differentiation problem: \(\ \Huge \frac{1}{(t^4+1)^3} .\)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
I would make it a negative exponent.
anonymous
  • anonymous
|dw:1352344215249:dw|
anonymous
  • anonymous
Can you do it now?

Looking for something else?

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

More answers

anonymous
  • anonymous
I'll give it a try. Thanks for the hint, @Dido525!
anonymous
  • anonymous
Welcome :) .
anonymous
  • anonymous
Let me know what you get.
anonymous
  • anonymous
\(\ \Huge \text{Okay. We're both 63 :)} \)
anonymous
  • anonymous
63?
anonymous
  • anonymous
\(\ \text{Not age, of course (though I have no way of knowing...); I was referring to SmartScore.} \)
anonymous
  • anonymous
SmartScore*
anonymous
  • anonymous
Ohh...
anonymous
  • anonymous
\(\ \large \text{Okay, so I got: }\) \(\ \Huge -3(t^4+1)^{-4}+4t^3, \) \(\ \Large\text{Is that correct?} \)
Babyslapmafro
  • Babyslapmafro
Close, but that is not correct.
anonymous
  • anonymous
@Babyslapmafro \(\ \Large\text{Where did I go wrong?} \)
Babyslapmafro
  • Babyslapmafro
You must multiply the derivative of the outside by the derivative of the inside, you added the two.
anonymous
  • anonymous
You must multiply not add.
anonymous
  • anonymous
\(\ \Huge \text{?} \)
anonymous
  • anonymous
\(\ \Huge \text{Where?} \)
Babyslapmafro
  • Babyslapmafro
You must multiply the derivative of the quantity (t^4+1) to the derivative of the outside function.
anonymous
  • anonymous
|dw:1352344924295:dw|
anonymous
  • anonymous
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!
anonymous
  • anonymous
Welcome :) .
Babyslapmafro
  • Babyslapmafro
\[-\frac{ 12t^3 }{ (t^4+1)^4 }\]
Babyslapmafro
  • Babyslapmafro
That is the answer in a more simplified "cleaner" format.

Looking for something else?

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