# Math Help - Linear Approximation

1. ## Linear Approximation

Use a linear approximation (or differential) to estimate the given number.

(2.001)^5 (sorry this is in calculator notation which is referring to an exponential)

i know the linear approximation formula is L(x)= f(a) + f'(a)(x-a)
but I'm not quite certain what I'm supposed to do in order to solve this one. please help

2. Originally Posted by mlckb1
Use a linear approximation (or differential) to estimate the given number.

(2.001)^5 (sorry this is in calculator notation which is referring to an exponential)

i know the linear approximation formula is L(x)= f(a) + f'(a)(x-a)
but I'm not quite certain what I'm supposed to do in order to solve this one. please help
f(x+h) = f(x) + hf'(x).

In your problem f(x) = x^5, x = 2, h = 0.001.