Linear Aproximation

Question 1

What is the function for linear approximation?

Answer 1

L(x) ~ f ’(a) (x -a) + f(a)

Question 2

Find the approximate value of ‘ ‘ when given the function and a value. What are the steps ?

Answer 2

1) get derivative
2) solve for f ‘(a)
3) solve f(a)
4) get equation L(x)
5) set OG function to the Aprox
6) solve
7) plug the new value x into the l(x) equation