### Wikibook Search

Search our maths Wikibook for maths topics. Enter a keyword or phrase in the box and press the "Search" button

### Latest Blog Posts

Suffering from weekend or holiday boredom? Follow the ideas and experiments I'm trying out with my students over the next few weeks on the YourMathsTutor blog.

Trace: »

# Understanding Differentiation

## Introduction

This article assumes that you are familiar with straight line graphs, the idea that a line has a gradient and that a gradient represents a rate of change. You also need to understand how use algebra and how to manipulate algebraic equations. If you are happy then read on…

## Zooming In On A Curve

The diagram below shows the graph of the function

<insert diagram here>

We are asked the question: how do we find the slope, otherwise known as the rate of change, of the graph at a particular value of ?

## Exercises

Find the derivative (the gradient function) of the following (the first one has been done for you)…

1)