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Here are just a few general tips to produce a strong essay. --- Read the question a few times before starting and make sure you understand what it is asking and how to best answer it - underlining key wor...

To gain your AO3 marks in a GCSE English exam, you must show your understanding of the context in which the text was written. To understand the established context of a piece of literature you need to ans...

Write y = x^xln(y) = xln(x)1/y dy/dx = (1+ln(x)) by applying the chain rule to the LHS and product rule to the RHSdy/dx = y(1+ln(x)) Rearranging dy/dx = x^x (1+ln(x)) Substituting y=x^x into the equationN...

The easiest way to do this is to notice that f(x-2) is just f(x) translated by two in the positive x-direction - it is not necessary to calculate what f(x-2) is at any point!
So we calculate f'(x) =...

Recall the product rule for differentiation: the derivative of uv is equal to u'v+uv'.If we use the fact that integration reverses differentiation (so the integral of f' is f), then we calculate that uv i...