Question

How do you find the instantaneous rate of change of the function `x^2 + 3x - 4` when x=2?

Answer 1

The instantaneous rate of change of the function `= 7`

Explanation:

Given -

`y=x^2+3x-4`

The first derivative of the function gives the rate of change for any value of `x`

`dy/dx=2x+3`

At `x=2` the rate of change is -

At `x=2; dy/dx=2(2)+3=4+3=7`