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Trace: » differentiation

Understanding Differentiation


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 Graph

<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 ?


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

1) Graph


2) Graph
3) Graph
4) Graph
5) Graph
6) Graph
7) Graph
8) Graph
9) Graph
10) Graph