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Differentiation
This is used to find the gradient of a curve at different points. It also helps us find the equation of a
tangent or a normal to a curve, stationary points on a curve, minimum and maximum points and tells
us whether a function is increasing or decreasing



Times…

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Equation of a normal to the curve

The normal to curve is always at a right angle to
the tangent
This means that it's perpendicular to the tangent
This means that the product of the gradients is -1

m1 x m2 = -1
To find the equation of a normal…

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and then sub in your x coordinate into your second derivative dx2


Increasing and decreasing functions



If the gradient of a function is POSITIVE then it is INCREASING

If the gradient of a function is NEGATIVE then it is DECREASING



1. Differentiate and sub in your x value
2. Write…

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A good set of revision notes (printed with illustrations) on differentiation.(Core 1)

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