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Recall that a geometric progression is a sequence (a_n) defined ...

The chain rule is incredibly useful when differentiating compositions of funcions. 

Until now you have really only met dy/dx as your derivative. By imagining dy/dx as a fraction, you...

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...