# Science:Math Exam Resources/Courses/MATH103/April 2016/Question 06 (b) (iii)/Solution 1

In part (ii), we showed that the fixed points of are In order to classify these points, we first need to find the derivative of . Clearly,

At the point we have So, this fixed point is **unstable**.

At the point we have So, this fixed point is **stable** also.