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We recognise that this is in the form of a function within a function, i.e u= 3x - 2 is within the u^4 function, therefore here we will use the chan rule to differentiate the equation. The chain rule states ...

Ok so we need to get 'y' by itself on the left hand side of equal sign. We will first try to remove the denominator by multiplying 'x' by (3+4y). This gives (3+4y)x = 1 - 2y. We will then expand the brackets...

This is obviously a very important but somewhat difficult to explain question of maths. Let's try to define these terms for normal functions between R (real numbers) and R. Now, if we consider the derivative...

To find the highest common factor of 24 and 90 we do this in three steps: 1. Find the prime factorisation of the two numbers. This means rewrite each given number as a product of only prime numbers. The prim...

Take the '-masu' ending off the verb, leaving the stem (e.g. 'kaemasu --> kae-') and just add '-te'. The '-te' form is extremely useful: combine it with 'kudasai' to ask someone to do something, with 'ima...