Question

How would you complete 2 itterations of Newtons method using the given initial guess for the following equation:
f(x)=2x^2 - 3 x1=1

Answer 1

Write down the Newtons formula, compute the required derivative at initial point and increase the iteration as defined!

Answer 2

Ok, so \[x _{n+1}=x _{n}-\frac{ f(x _{n}) }{f'(x _{n}) }\]

\[f(x)=2x ^{2}-3\]
\[f'(x)=4x\]

and then ?

Answer 3

plug in 1 and see what you get

Answer 4

f(1)=4(1)=4

Answer 5

\[f(1)=-1, f'(1)=4\] so \[x_2=1-\frac{-1}{4}=\frac{5}{4}\]

Answer 6

ok

Answer 7

lather, rinse repeat

Answer 8

ok

Answer 9

for what number?

Answer 10

I got this answer now. Thanks for the help.