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. 

JM

Related Further Mathematics GCSE answers

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f'(x) = 3x^2 - 5cos(3x) + 90. Find f(x) and f''(x).


How do I determine if a stationary point on a curve is the maximum or minimum?


Work out the coordinates for the stationary point of y = x^2 + 3x + 4


Work out the equation of the tangent to the curve y=x^2+5x-8 at the point (2,6)