Question

What is the difference between Average rate of change and instantaneous rate of change?

Answer 1

The average rate of change of a function `f(x)` on an interval `[a,b]` is the slope of the secant line, which can be found by
`{f(b)-f(a)}/{b-a}`,
and the instantaneous rate of change of `f(x)` at `x=a` is the slope of the tangent line, which can be found by
`f'(a)`.