Question

What is the instantaneous rate of change of `f(x) = e^x` when `x = 0`?

Answer 1

The instantaneous rate of change is the derivative.

The derivative of `f(x)=e^x` is `f'(x)=e^x`.

So, the instantaneous rate of change when `x=0` is `f'(0)=e^0=1`