I worked out my solution and was hoping for some input from the experts as to whether I did this correctly or not.

Thanks in advance!!

Compute the indicated derivative.

f'''(t) for f(t) = 4t^{2}- 12 + (4/t^{2})

F’(t) = (d/dt) (4t^{2}-12 + (4/t^{2})

= 8t + 4t^{-2}

F’’(t) = (d/dt) (8t + 4t^{-2})

= 8 – 8t^{-1}

F’’’(t) = (d/dt) (8 – 8t^{-1})

=8