klorane
klorane
01-02-2017
Mathematics
contestada
I need to know instantaneous rate of change at t=2
Respuesta :
LammettHash
LammettHash
01-02-2017
[tex]g(t)=4-t^2[/tex]
[tex]\displaystyle g'(2)=\lim_{t\to2}\frac{g(t)-g(2)}{t-2}[/tex]
[tex]\displaystyle g'(2)=\lim_{t\to2}\frac{4-t^2-0}{t-2}[/tex]
[tex]\displaystyle g'(2)=-\lim_{t\to2}\frac{(2-t)(2+t)}{2-t}[/tex]
[tex]\displaystyle g'(2)=-\lim_{t\to2}(2+t)[/tex]
[tex]\displaystyle g'(2)=-4[/tex]
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