Question

How do you find the instantaneous rate of change of `f(t)=(2t^3-3t+4)` when `t=2`?

Answer 1

The instantaneous rate of change can be found by
`f'(2)=21`.

By taking the derivative,
`f(t)=6t^2-3`
By pluging in `t=2`,
`f'(2)=6(2)^2-3=21`