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Mathematics ­ Core 2 Differentiation



Increasing and Decreasing functions
Increasing functions are functions that have a gradient greater than 0.

So dy / dx > 0.

You can work if a function is an increasing function if you differentiate the term and then see if
at the point you are…

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Stationary Points
Stationary points are points on the curve where the gradient is equal to 0. They can also be
called turning points. You can work them out by just letting the differentiated term equal 0.

For example:

If we need to work out where the coordinate of the stationary…

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When x = 1, d 2 y / dx 2 = 18 < 0, so it is maximum point. (1, 17) is a maximum point.

When x = 4, d 2 y / dx 2 = 18 > 0, so it is a minimum points. (4, 10) is a minimum…

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S = 280 cm2






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