Search over 10,000 free study notes

Firstly we must notice that we can differentiate each term separately.

Starting with the 2xy term, we must use the product rule as x and y are two variable that will differentiate. Setting u=2x and...

In order to rationalise the denominator we need to get rid of the surd (square-root) on the bottom of the fraction.

To do this, we can multiply the denominator by sqrt(5).

But we must notice...

We want to determine whether a function has a tangent which is horizontal. To answer the question we need to know what a horizontal tangent to a function means. A tangent to a graph of a function is a lin...

This simply means, 'the next best alternative foregone'. We can explain this by saying if I only had £5 to buy lunch, I could either buy a sandwich or half a pizza. The opportunity cost of me buying a san...

The difference between a codified and uncodified constitution is quite simple. Codified means the constitution is written down in a single document. The US constitution is codified. An uncodified constitu...