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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 large numbe...

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 electrons/ Pi bonds are delocalised2. It is made up of six Carbons in a ring with two rings of electon density above and below the plane of the ring.3. It has a lower electron density than alkenes with a...