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A minimum point will have a gradient of 0 (although so will a maximum point or a point of inflection). dy/dx = 3x²-6x. We can substitute x = 2 into this equation to give 0 (alternatively solve ...

As we cannot immediately differentiate inverse tan we take tan of both sides giving us tan(y)=3e^2x. We then differentiate with respect to x, however this must be done using implicit differentia...

Break the solution down into small logical steps, outlining thought process in each one to make it clear to the examiner what it is you are try to do. Emphasise the importance of a clear and neat layout o...

If you are familiar with induction but unsure how to answer the types of questions that require it, a structure can be useful.
Even when confident, it will help an examiner to see where to award you ...

The first step to answering this question is to pinpoint exactly what it means. We remind ourselves that when we are given a number in the form of a + bi, we are dealing with a complex number. A ...