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King Lear is one of those plays which Shakespeare uses to tackle a wide variety of themes, all of which can be analysed deeply individually, but also in terms of their interconnected nature. Some of the main themes are as follows:
Nature, Parenthood, Families, Politics, Power, Women, God/s, Monarchy, Loyalty, Madness...
The list goes on and on, I have certainly not covered everything, see if you can find any others! Feel free to ask if you've got any more questions on this topic.see more
Although differentiation is often taught in an abstract way, it's applications are virtually limitless. It's primary purpose is to determine the gradient of a line at a given point on a curve. Unlike with the gradient of a straight line, which is constant at all points on the line, the gradient of a curve is different at every point. Differentiation is therefore the method used to find the gradient at a given point.see more
There are a range of methods commonly used for differentation, but my favoured method is as follows:
E.g. Differentiate 3x^2
1) Separate into three separate parts - the Coefficient (the number at the front, in this case the 3), the letter (can be anything, but x in this question) and the power (in this case ^2, squared).
2) Firstly, multiply the power by the coefficient, this becomes the coefficient of your answer - here, 3x2=6
3) Now, leave the x as it is, and +1 to the power (so the function is now ^3, cubed)
Thus your answer will be 6x^3. At this point, the question may ask you to find the differential when x is a given value, let's say that is 2. If the question doesn't ask for this, 6x^3 is the answer you should clearly put on your exam paper - make sure the examiner can find and read it easily!
4) To find the gradient (the differential) when x=2, we simply have to substitute 2 into 6x^3. This is 6(2)^3 = 6(8) = 48. Make sure you clearly indicate this is your final answer on the exam paper.
If you have any more questions, or would like help with other examples/ questions, feel free to ask. The examiners ask these questions in a wide variety of ways, but essentially the working required is exactly the same. You just need to become practised in quickly identifying what they want you to do, so you can adapt quickly! Good luck!see more