core pure 3 notes

notes for the various chapters

1 proof
2 natural logarithms and exponentials
3 functions
4 differentiation techniques
5 integration techniques

Thursday, 13 October 2011

product rule examples

product rule examples















(differentiate first) times (the second) then +  (the first) times (differential of the second)

















when factorising, extract the lowest power of a common function

 
























in this question, use the product rule to find the differential and then relate the turning points to the graph


















some other examples, involving exponential, logarithmic and trig functions

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