These notes, examples and exercises provide a comprehensive course in modelling using differentiation. The concept of differentiation is introduced as the limit of the gradient of a chord.
Many different types of mathematical model are analysed using the tools of differentiation, including quadratic, cubic, exponential and trigonometric models. Real life examples are at the center of each section, with students encouraged to interpret their answers in context.
There extensive examples and exercises for students to consolidate their skills. Answers are provided for the teacher.
11 homework tasks are provided at the end of the booklet