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In order to differentiate this expression, you need to use the chain rule. 

The chain rule gives: f'(x) = uv' + u'v.

The u and the v are two parts of the o...

This is a difficult question that you only need to know the result of.However, it's a good exercise to derive it. 

Starting with f(x)=a^x we can take the natural logarithm of bo...

The first thing to consider when converting an expression to impartial fractions is how many fractions you will have in the end. With linear (no powers) brackets, found in the denominator of your initi...

This is a cubic curve because the highest power to which x is being raised is 3. Cubic curves with addition x^2 and x terms often have a distinctive shape - sort of like a capital 'N' drawn using curve...

First factorise: (x - 2)(x - 5) = 0

Then either: x - 2 = 0   so x = 2

            or   x - 5 = 0   so x = 5