Question

local linear approximation to estimate 28^1/3 ?

Answer 1

one approach
28^1/3
27^1/3 = 3
28^1/3 can be written as (27 + 1 )^1/3
(a + b) ^ n =

Answer 2

\[f(x)=\sqrt[3]{27+x}\] for \(x=1\)

Answer 3

use \(f'(0)\) to get local linearization

Answer 4

at the point \((0,3)\)

Answer 5

Okay so (1/3)(27+x)^-2/3

Answer 6

yeah radical form is what is needed here

Answer 7

so you can evaluate at \(x=0\) to get your slope