[See Steps] Do analytically and exactly showing all steps. Differentiate the function and then simplify. f(t)=4/t+ tan ^-1((t^2)/(9)) Evaluate the derivative
Question: Do analytically and exactly showing all steps.
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Differentiate the function and then simplify.
\[f(t)=\frac{4}{t}+\tan ^{-1}\left(\frac{t^{2}}{9}\right)\] - Evaluate the derivative at \(t=2\) and enter below accurate to 3 decimal places.
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