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Here, we must apply both chain and product rules. The chain rule can be used to find the derivative of a function in the form e^f(x), like this one. However it is useful to know that this will r...

This is one of the trickier methods of integration, and it requires some practise. The basic idea is to split a function which would be difficult to integrate into two parts. Differentiating one part a...

The first thing to recognise is that this function is a product of two functions: namely, 4x^2 and ln(x), thus we must employ the product rule in order to find the solution. As you may recall, the prod...

This is a past paper question for an A level OCR MEI paper for Maths.We need to find the gradient of the curve so we know right away that we need to use differentiation.The equation y = ln(1-cos2x) is dif...

This isn't a requirement of many courses but understanding and proving mathematics has order is what makes mathematics unique and enjoyable to many.
Imagine the sum of a seque...