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Good question! The Gothic has, historically, meant all sorts of things - originally meaning just 'to do with the Goths' (a Germanic tribe), it has been associated with a style of pseudo-medieval archit...

When deciding where to take a phrase, look at the final 3 or 4 notes of the phrase. This will give you an indication of the chord you will use as a pivot chord.Pivot chords are essential for modulating th...

This is an implicit function, meaning the x and y terms are not able to be seperated onto different sides, i.e. y=f(x). Therefore, we must use implicit differentiation. B...

There are some very useful rules when dealing with partial fractions1) For every linear factor such as ax + b in the denominator, there will be a partial fraction of the form A /...

The method we use to differentiate this form of equation is called the chain rule.

The chain rule is dy/dx = dy/du x du/dx

We can rememeber the right way up of the terms on ...