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To differentiate a function of the form y=a^x you need to use a neat little trick to rewrite a^x in the form of something you already know how to differentiate. Using the fact that e^ln(x) is equal to x, y =...

To do this question we must first be aware of a few trigonometric identities. 1. sec(x) = 1/cos(x). 2. cos(A + B) = cos(A)cos(B) - sin(A)sin(B). (double angle formula) 3 . sin^2(x) = 1 - cos^2(x) Before divi...

These are usually 2 or 3 mark questions and should be a really easy source of marks in any paper. The marks will be awarded for stating the 2 key point of the law and in some cases for writing out the equati...

To begin, notice that the expression involves 2 functions of x multiplied together, this means we can approach the problem using integration by parts. Integration by parts can be expressed as '∫ u (dv/dx) dx...

I would say there are three key ways to achieve this. Firstly, it is hugely important to use an advanced conditional phrase which involves the imperfect subjunctive. For example, if you were writing about th...