Senior Maths Topics: Differential Calculus
$26.95
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Product Code: 9781875695492
Phoenix Senior Maths Topics provide thorough and detailed explanations, worked examples, summaries and practice exam questions on essential senior maths topics. Each book is a detailed treatment of a topic selected because of its importance in senior maths. They can be used at school, to supplement the textbook, providing more detail and exercises, and at home, to aid home study and exam preparation.
These books are for senior secondary students, particularly those who:
o want to study a topic in more depth
o are having difficulty with a topic
Phoenix Senior Maths Topics books can be used:
· to learn and understand the topic: a full and detailed treatment of the topic with clear stepbystep explanations and plenty of worked examples.
· as a study and revision aid: a separate summary contains the information which has to be learned, as well as exercises and sample tests with typical examination questions. Solutions are provided.
· as a reference: all the relevant information is easy to find and easy to understand.
Contents
Using this book Chapter 1 Limits Definition Properties of limits Chapter 2 Continuity Chapter 3 Gradient of a secant Chapter 4 Gradient of a tangent Chapter 5 The gradient function Chapter 6 Continuity and smoothness Chapter 7 Differentiation The derived function Differentiation from first principles Increment notation Using the delta notation Chapter 8 Rules for differentiation The derivative of xn for n an integer The derivative of cxn The derivative of cx The derivative of a constant The derivative of sums and differences of functions The derivative of xn for negative indices The derivative of xn for fractional indices Differentiation with respect to other variables

Chapter 9 Further rules for differentiation The function of a function rule The chain rule The product rule The product rule involving the function of a function rule The quotient rule The quotient rule involving the function of a function rule Chapter 10 Geometric applications of differentiation Tangents and normals Higher derivatives Stationary points Turning points Significants of the second derivative Maxima and minima Practical applications of maxima and minima Chapter 11 Miscellaneous examples Summary Sample tests Answers 