Originally Posted by

**ticbol** On your two options, I want to say that you have to take it on the former...except that the the LHS should be f(x) and not zero as posted...because you need the f'(x) in the Newton-Raphson method.

The second equation is not equivalent to the first equation.

But, question, is the (1 +x^2) in the numerator really not the same as the (1 +x) in the denominator?

Because if both were (1 +x^2), or both were (1 +x), then you can decompose the RHS of the first equation into two simpler fractions that might not make you mad to differentiate.