Science:Math Exam Resources/Courses/MATH102/December 2017/Question 11 (b)/Statement

Consider the function

$$f(x)=x^{5}-4x^{2}+2x$$

You are told that there is a critical point somewhere near the point $x=1$.

(b) Use Newton’s Method to find a better approximation of the location of the critical point. Only one step is needed, i.e. you are given $x_{0}=1$ and asked to find $x_{1}$. (Leave your answer as a simple fraction of integers.)