This book covers the discussions on Differential Calculus. This consists of lessons together with sample problems and exercises at the end of every topic to give way the student for him to solve it. It is important that the student should gain not just how to solve problems but most importantly, student should gain the concepts and ideas behind a certain topic. The author wishes that with this material, students can learn fully the knowledge of differential calculus as preparation for higher courses in calculus and advanced studies in mathematics.