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 point of the function y=(x-5)(2x-2)


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.


Finding the derivative of a polynomial.


The function f is given by f(x) = SQRT(2x − 5). Work out x when f(x) = 1.2