posted by Terry .
y= (t^3 + t)/(t^4 - 2)
This is derivative of a division (fraction.
the rule is
the denominator times the derivative of the numerator - the numerator times the derivative of the denominator.
ALL OVER the denominator squared.
The denominator of the derivative is the easy part. It is just (t^4 -2)^2
Now.. lets work on the other part.
You have to multiply and simplify the numerator and put it over the denominator. Be careful of the negative signs.