Author(s): Tom Sidebotham

ESA Publications Year 13 Maths Study & Revision Guides

Level 3 Differentiation Learning Workbook covers the NCEA Level 3 Achievement Standard 91578 (Mathematics and Statistics 3.6): Apply differentiation methods in solving problems. This standard is externally assessed and worth 6 credits.
The workbook features:

concise theory notes with brief, clear explanations
worked examples with key concepts and skills explained
relevant sets of exercises for student practice
answers to all exercises, provided in the back of the book
a set of practice revision questions.
An index gives easy access to important terms and definitions highlighted in the text.

This workbook provides a range of questions for the student, involving the derivatives of power, exponential, logarithmic and trigonometric functions. Differentiation methods include the chain, product and quotient rules, and parametric differentiation. Graphical applications include limits, continuity, differentiability, extremal values (maxima, minima), points of inflection, concavity and equations of tangents and normals. Other problem-solving applications include optimisation and rates of change problems such as kinematics.

This write-on workbook may be used by teachers for classroom practice, or by students as a homework book or revision guide. The write-on format keeps notes and exercises together in a compact form, providing a useful end-of-topic and exam revision tool.