Question

How to find instantaneous rate of change for `f(x) = 3/x` when x=2?

Answer 1

The instantaneous rate of change of `f(x)` is equal to the derivative
of

`f(x)` at `x=2`

Hence

`(df(x)/dx)_(x=2)=(-3/x^2)_(x=2)=-3/2^2=-3/4`