I need to know instantaneous rate of change at t=2
Mathematics
klorane
Question
I need to know instantaneous rate of change at t=2
1 Answer

1. User Answers LammettHash
[tex]g(t)=4t^2[/tex]
[tex]\displaystyle g'(2)=\lim_{t\to2}\frac{g(t)g(2)}{t2}[/tex]
[tex]\displaystyle g'(2)=\lim_{t\to2}\frac{4t^20}{t2}[/tex]
[tex]\displaystyle g'(2)=\lim_{t\to2}\frac{(2t)(2+t)}{2t}[/tex]
[tex]\displaystyle g'(2)=\lim_{t\to2}(2+t)[/tex]
[tex]\displaystyle g'(2)=4[/tex]