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In order to factorise successfully, we have found the highest common factor for part a,b and c (the highest number that can be divided exactly into each of the terms) and placed these outside of the br...

A function represents a quantity. For example the function s = (6t² + 4t) m, could represent displacement. The unknown t is inputted to find the displacement an object travels at a certain t...

There are two ways we can find the derivative of x^x.

It's important to notice that this function is neither a power function of the form x^k nor an exponential function of the form b^x, so we...

Always follow the same three steps : equating – substracting – substituting but you can have different cases : 

Case 1: we only need to multi...

This problem is a graphical representation of finding the solutions to a pair of simultaneous equations.

In this example we will use the curves y=2x² , and y=x²+1. T...