Written by James Beaven, Lawrence Holmes and Gregor McQuade

'The Method of Fluxions' is the name given by Newton to his
discovery

of Differential Calculus, independently discovered by
Leibnitz.

At its heart is the problem of trying to find the rate of change of a function.

If you look at this graph of x^{2}, you will see that, when x
= 0,

the graph is flat, but, as x increases, so the slope increases.

Newton decided that the solution to this problem was to define

the
rate of change of a graph as the slope of the tangent

at a particular
point.

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