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 $f(x)$.