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How do I use the chain rule for differentiation?

The chain rule is used when we have a function in the form f(g(x)). For example sin(x^3). [In this case, f(x) = sin(x) and g(x) = x^3] The chain rule says that the derivative of f(g(x)) is g'(x)*f'(g(x)). Fo...
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Answered by Tom K. Maths tutor
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Factorise x^2 + 7x + 10

'Factorise' essentially means put into a simpler form, in this case with two sets of linear equations which would multiply out to give the quadratic equation shown above. What we are looking for to begin wit...
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Answered by David J. Maths tutor
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Explain the difference between short term growth and long term growth

Short term growth is, as the name suggests, growth in the output of a country in terms of GDP over a given (short, usually a year) period of time. It is measured by the annual percentage change in GDP. Long ...
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Answered by David J. Economics tutor
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How does osmosis work?

Thinking of osmosis represented by two water towers attatched with a pipe at the bottom helped me to understand. If one tower has a higher level of water than the other, water will flow into the other to eve...
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Answered by Helena B. Biology tutor
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‘The real tragic hero in Sophocles’ Antigone is Creon, not Antigone herself.’ How far do you agree with this statement?

‘The real tragic hero in Sophocles’ Antigone is Creon, not Antigone herself.’ How far do you agree with this statement? - Consider the words and actions of Creon and Antigone in Sophocles’ Antigone - Include...
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