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Say we have an equation with the product of two subjects in the form f(x) = u(x)v(x).

Differentiating is simple, we would just multiply the differential*...

Take the sequence;

9,    12,    19,    30,    ...

(1) The first step is always to look at difference between the terms;

9,    12,    19,...

So we initially have the relationship y = ln(sin(3x)). As the left hand side is a function of the variable y and the right hand side is a function of the variable x i.e they are implicitly related, we ...

My favourite way to remember whether my answer is positive or negative when I multiply two numbers is to think of the following:

a) If you multiply two numbers with the SAME sign (i.e. tw...

(2 + 3^0.5 )^2 - (2 - 3^0.5 )^2

Firstly we will start by seperating the 2 brackets. This will give us 

1 :      (2+ 3^0.5 )^2

2 :      (2 - 3^0.5 )^2