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Introduction to differentiation

Introduction to differentiation

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8.1 Introduction to differentiation Introduction This leaflet provides a rough and ready introduction to differentiation. This is a technique used to calculate the gradient, or slope, of a graph at different points. 1. The gradient function Given a function, for example, y = x2 , it is possible to derive a formula for the gradient of its graph. We can think of this formula as the gradient function, precisely because it tells us the gradient of the graph. For example, when y = x2 the gradient function is 2x So, the gradient of the graph of y = x2 at any point is twice the x value the ...
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