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

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Dido525
 2 years ago
Best ResponseYou've already chosen the best response.1I would make it a negative exponent.

Study23
 2 years ago
Best ResponseYou've already chosen the best response.0I'll give it a try. Thanks for the hint, @Dido525!

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.1Let me know what you get.

Study23
 2 years ago
Best ResponseYou've already chosen the best response.0\(\ \Huge \text{Okay. We're both 63 :)} \)

Study23
 2 years ago
Best ResponseYou've already chosen the best response.0\(\ \text{Not age, of course (though I have no way of knowing...); I was referring to SmartScore.} \)

Study23
 2 years ago
Best ResponseYou've already chosen the best response.0\(\ \large \text{Okay, so I got: }\) \(\ \Huge 3(t^4+1)^{4}+4t^3, \) \(\ \Large\text{Is that correct?} \)

Babyslapmafro
 2 years ago
Best ResponseYou've already chosen the best response.1Close, but that is not correct.

Study23
 2 years ago
Best ResponseYou've already chosen the best response.0@Babyslapmafro \(\ \Large\text{Where did I go wrong?} \)

Babyslapmafro
 2 years ago
Best ResponseYou've already chosen the best response.1You must multiply the derivative of the outside by the derivative of the inside, you added the two.

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.1You must multiply not add.

Study23
 2 years ago
Best ResponseYou've already chosen the best response.0\(\ \Huge \text{Where?} \)

Babyslapmafro
 2 years ago
Best ResponseYou've already chosen the best response.1You must multiply the derivative of the quantity (t^4+1) to the derivative of the outside function.

Study23
 2 years ago
Best ResponseYou've already chosen the best response.0Oh! 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!

Babyslapmafro
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{ 12t^3 }{ (t^4+1)^4 }\]

Babyslapmafro
 2 years ago
Best ResponseYou've already chosen the best response.1That is the answer in a more simplified "cleaner" format.
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