The process of implicit differentiation is also another very difficult topic for students to grasp in the first level of calculus.This document will be useful especially to teachers who teach AP Calculus and those teaching the first level of calculus in college.
In this electronic document, I have provided a simple outline showing how the process is used and when it is applicable. Most students taking AP calculus will have studied conic sections by this time. The derivatives of hyperbolas, parabolas, ellipses, circles and other equations in which y is not explicitly defined in terms of x will require implicit differentiation.
As indicated above, teachers who teach AP Calculus or Calculus 1 in the university will find this document useful. Students also taking the subject can use the document.