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The first step is to make sure that the coefficient of x^2 is 1 by dividing all terms by a (where a equals the coefficient of x^2). Then we must write the quadratic equation as a square plus another term. To...

There are two ways you can take the derivative of a^x. 1) Let y = a^x now we're trying to find dy/dx 2) ln(y) = xln(a) take logs of both sides and use log rules 3) (dy/dx)*(1/y) = ln(a) take the derivative o...

In my experience the sure fire way to prove trig identities is by doing the following: 1) Assess the question e.g. is it obvious you're going to need a double angle or addition formula, can you see where cos...

There are a few different types of integration, the most common being Riemann integration . Riemann integration allows you to find the area under the graph of a function between two points. Its definition us...

The reason why we factorise quadratic equation is because it is a neater and simpler way of writing the expression. Example 1 If we wanted to factorise x^2 + 10 + 21 we must look at factors of 21 that add up...