We can rewrite g(t) so that we can avoid the quotient rule altogether.
Use the power rule to derive g(t). The power rule is:
`d/dx x^n = nx^(n-1)`
`g'(t)= 2t +12 t^-4`
The answer is then: `g'(t)=2t + 12/t^4`
Although you can avoid the quotient rule, I still think that it is beneficial to practice using it.
Note that this only applies to the second term, as we can apply the Power Rule on the first term.
Simplifying it completely, you get
Note that you should get the same answer if you bring the `t^3 ` up top and apply the power rule for both terms. If you don't, then check your work because you probably made a mistake along the way!