Calculus
DIFFERENTIATION
The booklet to the right is everything you might need to know in relation to differentiation. If you are able to do each example as done in class and then all of the listed associated questions you will do very well.
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NOTE: The above book is missing the first 16 pages, I'll update when I can scan the original hard copy.
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DIFFERENTIATION FROM FIRST PRINCIPALS
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This video was designed for the A-Level program but I think it describes first principals really well.
Remember to learn and follow your steps as outlined in your calculus booklet. Text & Tests 7: Basics: Pg 64 Q's: 1, 2, 5 Advanced: Pg 64 Q's: 3, 6, 7 Exam Papers: 2014 Q 4 (a) |
DIFFERENTIATION BY RULE
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LOADS of examples of the most basic differentiation by rule.
Pause the video and try each problem and then check your answers against his. (Source: mocks.ie, a good site where you can get old mock papers. Really useful for those of you pushing for the A) Text & Tests 7: Basics: Pg 64 Q's: 1, 2, 3, 4, 8, 9, 11, 15, 21 |
PRODUCT & QUOTIENT RULE
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This video is by the same person as the first.
Be aware that he uses rules and differentiates terms such as exponentials that you may not have come across yet. Text & Tests 7: Basics: Pg 73/74 Q's: 1, 2, 3, 7, 8, 9, 11, 18, 20, |
CHAIN RULE
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This video is a little bit long, but it does do a very nice job in explaining what the chain rule is doing i.e. a function with a function.
Text & Tests 7: : Pg 73/74 Q's: 10, 12 |