Question

differentiate
y=[(t^3)+t]/[(t^4)-2]

Answer 1

Have you tried to use the quotient rule!?: )

Answer 2

\[y=\frac{f}{g} (g \neq 0) => y'=\frac{f' g-f g'}{g^2}\]

Answer 3

\[f=t^3+t =>f'=3t^2+1\]
\[g=t^4-2 => g'=4t^3-0=4t^3\]
Just plug in :)