Use Newton's Method to estimate a root of the function $f (x) = x + 4 - e^{x}$ Use the initial estimate $x_{1} = 0.6$
Find x_2 through x_7

Question

Use Newton's Method to estimate a root of the functionf(x)=x+4−e^x Use the initial estimate x_1=0.6Find x_2 through x_7

Tom K. · Accepted Answer

Newton's method uses the following process:

x_n+1 = x_n - f(x_n)/f'(x_n)

With this problem, you are given x₁ and f(x). All you have to do is calculate f'(x) and follow the Newton rule to get all of the values.

Use Newton's Method to estimate a root of the function f ( x ) = x + 4 − e^x Use the initial estimate x 1 = 0.6 : x 1 = 0.6