What is the general rule for differentiation?

In differentiation you multiply the coefficient of the subject (what the value is multiplied by e.g. 3 is the coefficient of 3x6) by its exponent (the power that the value is raised to e.g. the exponent of 3x6 is 6-) and then reduce the exponent by one. So to differentiate 3x6 you multiply 3 by 6 to get a new coefficient of 18, and reduce 6 by 1 to give a new exponent of 5, leaving a final answer of 18x5.

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Answered by Oisin B. Maths tutor

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OCR M2 A level maths June 2015 question 8


The arithmetic series is given by (k+1)+(2k+3)+(3k+5)+...+303. a)Find the number of term in the series in terms of k. b) Show that the sum of the series is given by (152k+46208)/(k+2). c)Given that S=2568, find k.


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