Science:Math Exam Resources/Courses/MATH102/December 2011/Question 01 (c)/Statement

Short-Answer Questions. A correct answer in the box gives full marks. For partial marks work needs to be shown.

Consider the function $f(x)=x^{3}-x+1\,$. Use one step of Newton's method to improve the initial guess $x_{0}=-1\,$ for the zero (root) of $f(x)\,$.