# Topic 6: Calculus

## Differentiation

## Differentiation – Introduction

## Tangents and Normals

## Increasing and Decreasing functions

## Stationary Points

## Standard Differentials

## The Chain Rule

## The Product and Quotient Rules

## The Reciprocal Function of dy/dx

## Integration

## Integration – Introduction

## Equations of Curves

## Definite Integration

## Applications of Integration – Area bound by a curve

## Applications of Integration – Volumes of revolution

## Integration

- Integration:(ax+b)
^{n}types - Exam Questions - Integration:(ax+b)
^{n}types - Integrating exponential functions e
^{x}, e^{ax}and e^{(ax+b)} - Exam Questions - Integrating exponential functions e
^{x}, e^{ax}and e^{(ax+b)} - Integrating reciprocal functions 1/x and 1/(ax+b)
- Exam Questions - Integrating reciprocal functions 1/x and 1/(ax+b)
- Integrals of the form : f '(x)/f(x)
- Integrals of the form : f'(x)e
^{f(x)}