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This is a simple partial fraction to solve as the denominator has already been given to you as a factorised quadratic. 

Because the x terms are to the dgree 1 aka x¹ we use the...

since f(x)=0 write

9x²-4=0

move the x's to one side and the numbers to the other.

so 9x²=4

then to get rid of the 9 divide ...

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...