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So I am using Newton's method. And for equation $f(x)=\sin(x)/(3+\sin(x))$ I differentiated it and I got $3\cos(x)/(3+\sin(x))^2$ which is checked by wolfram alpha. However, when I apply Newton's method on my own my results do not match my expected result calculated by a Newton's method software which is shown below enter image description here

The picture is what I am aiming, but it seems like there are some errors.

. What is the error? I really could not find it.

Justin Chan St georges school IB mathematics EE

Julián Aguirre
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Tommy Lassa
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Since you do not show us your work it is difficult to find the error. It must be either in the function that you must iterate, which should be $$ N(x)=x-\frac{f(x)}{f'(x)}=x-\frac13\,(3+\sin x)\tan x, $$ or in the computations with that function. The results given by the software are correct.

Julián Aguirre
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