For the function f(x)=x^3−8x+3,

Question

a) Determine a SIMPLIFIED expression for [f(5+h)−f(5)] / h. What does this expression represent?
b) Using your simplified expression from part (a), evaluate if h = 0.001. What does this value represent?

Answer 1

you will definitely need your calculator for this

for a) follow the steps in the answer to your post from 9:24 pm

b)
[f(5+h)−f(5)] / h
= (5.001^3 - 8(5.001) + 3 - (5^3 - 8(5) + 3) )/.001
= ......

let me know what you get

Answer 2

I got 67.015

Answer 3

good job, the real value using Calculus would be 67