2 Module C1 Module C2 Edexcel AQA OCR MEI/OCR "Certain images and/or photos on this presentation are the copyrighted property of JupiterImages and are being used with permission under license. These images and/or photos may not be copied or downloaded without permission from JupiterImages"
3 The Rule for Differentiation We have differentiated terms of the form where n is a positive integer.e.g.The same rule holds when n is negative or a fraction.
4 e.g. 1N.Be.g. 2 Find the gradient function, ifSolution:
5 ExercisesDifferentiate the following:1.Ans:2.Ans:
6 To differentiate a term like we need to change it to a constant multiplied by the variable.We use one of the laws of indices:
8 e.g. 2 DifferentiateSolution:We don’t start to differentiate until all the terms are in the right formThis answer can be left like this or written asOnly the x has a negative index so the 2 doesn’t move!
16 The following slides contain repeats of information on earlier slides, shown without colour, so that they can be printed and photocopied.For most purposes the slides can be printed as “Handouts” with up to 6 slides per sheet.
17 e.g. 2 Find the gradient function, if Solution:e.g. 1N.B
18 SUMMARYThe rule for differentiating can be used forusing