Mathematics

Question

I need to know instantaneous rate of change at t=2
I need to know instantaneous rate of change at t=2

1 Answer

  • [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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