Question

What is the instantaneous rate of change of `f(x)=7x^3-8x^2+9x` at `x=2`?

Answer 1

Find the value of the first derivative at `x=2` ...

Explanation:

`f'(x)=21x^2-16x+9`

`f'(2)=21(2^2)-16(2)+9=61`

instantaneous rate of change `=61`

hope that helped