What is differentiation used for?

Differentiation is used to find the gradient of a line, or curve. It can also be used to find the co-ordinates of stationary points, whether these be minimum, maximum or points of inflection. The second derivitive can be used to identify if these points are minimum or maximum. 

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Related Further Mathematics GCSE answers

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Find the coordinates of the minimum/maximum of the curve: Y = 8X - 2X^2 - 9, and determine whether it is a maximum or a minimum.


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Given y=x^3-x^2+6x-1, use diffferentiation to find the gradient of the normal at (1,5).