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The half-life of a radioactive isotope is the time taken for half of the atoms in a given sample of the isotope to decay. Radioactivity is random and so, half-life is the average time taken for a larg...

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)...

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 w...

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...

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 f...