Is this correct take the derivative of

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Homework Help Overview

The discussion revolves around the differentiation of the expression (t-1)^(1/2) * (t^-2). Participants are exploring the application of the product rule in calculus to find the derivative of this expression.

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are sharing their attempts at differentiating the expression, with some providing their results and others questioning the correctness of those results. There is also a clarification on the expression being differentiated.

Discussion Status

Several participants have expressed confidence in their results, while others are seeking clarification on specific steps taken in the differentiation process. There is an ongoing exploration of different interpretations of the original expression.

Contextual Notes

There appears to be some confusion regarding the exact form of the expression to be differentiated, with participants clarifying their interpretations of the notation used.

laker_gurl3
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(t-1)^1/2*(t^-2)

I hope you guys can understand what I am trying to say up there... SO i did the product rule, and my answer was this.. lemmi know if it's correct...thanks a bunch.

(t-1)^-1/2 t^-3 { -3/2t +2 }

That was my answer...
 
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I get

[tex]\frac{1}{2}\left[(t-1)^{-\frac{1}{2}}\right] t^{-3} \left(4-3t\right)[/tex]

Which is the same thing,so everything is okay. :smile:

Daniel.

P.S.Lakers missed the play-offs :wink:
 
Last edited:
hey that looks perfect to me!
 
is this what you trying to differentiate - [tex](t-1)^{\frac{t^2}{2}}[/tex] or is this
[tex](t-1)^{\frac{1}{2}} \frac{t^2}{2}[/tex]
 
Nope.

[tex](t-1)^{\frac{1}{2}} t^{-2}[/tex]

Daniel.
 
dextercioby said:
Nope.

[tex](t-1)^{\frac{1}{2}} t^{-2}[/tex]

Daniel.
I can see where the [tex]\frac{1}{2}\left[(t-1)^{-\frac{1}{2}}\right][/tex] came from but the [tex]t^{-3} \left(4-3t\right)[/tex] has lost me. What did you do to get that because I would have just done [tex]-2t^{-3}[/tex]

The Bob (2004 ©)
 
I forced something as a factor (v.above),and that's how i ended up with that paranthesis.

Daniel.
 

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