JoshHolloway
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[tex]g(t)=t\sqrt{4-t},t<3[/tex]
[tex]g'(t)=t[1/2(4-t)^-1/2 (-1)]+(4-t)^1/2[/tex]
[tex]g'(t)=t[1/2(4-t)^-1/2 (-1)]+(4-t)^1/2[/tex]
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The discussion revolves around the differentiation of the function g(t) = t√(4-t) for t < 3. Participants are attempting to express the derivative of the function and are sharing their approaches to writing it correctly, including the use of LaTeX formatting.
There is no clear consensus on the differentiation process, as participants are at different stages of understanding and formatting the problem. Multiple approaches to presenting the derivative exist, and some confusion remains regarding the correct representation.
Participants have not fully resolved the differentiation steps, and there may be assumptions about the function's domain that are not explicitly stated.
JoshHolloway said:[tex]g(t)=t\sqrt{4-t},t<3[/tex]
[tex]g'(t)=t[1/2(4-t)^-1/2 (-1)]+(4-t)^1/2[/tex]