Question

Estimate (1.01)6 using differentials (or equivalently, a linear approximation).

Answer 1

how do i find the f(x)?

Answer 2

Taylor polynomial?

Answer 3

what how do you do that?

Answer 4

A first order Taylor polynomial would give you a linear approximation. Is that supposed to be raised to the power of 6?

Answer 5

how about
f(x)= x^6

use a=1 (it is close to 1.01, but a^6 is easy to find)