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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The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.


Solve the simultaneous equations xy=2 and y=3x+5.


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


What is the equation of a circle with centre (3,4) and radius 4?