Thread: newton's method

use newtons method to find the roots of the equation

sinx=x^(2)+3^(x)-1

correct to sic decimal places

Originally Posted by thecount

use newtons method to find the roots of the equation

sinx=x^(2)+3^(x)-1

correct to sic decimal places

Newton's methof gives us an itterative methof for finding a root of the equation . This is:



So for this we have:



with:



Now you need an initial guess, well there is an obvious root at , and a bit of investigation suggests that there is another root to the left of this, so we could take an initial guess .

CB

You should understand the theory behind this method, but here is a cool online tool to help check if you're doing it correctly.

Newton's Method

Don't cheat though!