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The product rule is useful when you’re dealing with a function comprised of two functions multiplied together. Generally, if you have a function of the form y = f(x)g(x), then the derivative of the functi...

I am a 3rd year medical student at Imperial College London. While applying, I did the UKCAT, BMAT, MMI and a panal interview. So I think its fair to say that I've done it all ;).

I can be of help i...

Firstly, I will provide a mark scheme and then a full explanation underneath. 5x+6y=3. (1) 2x-3y=12. (2). (5x+6y=3)+(2(2x-3y=12)). (5x+6y=12)+ (4x-6y=24). 9x=27. x=3. Put x is (1) 5(3)+6y=3=15+6y=3. 6y=-1...

Firstly, I will provide a 'mark scheme' type answer.

Then there is a full explanation available underneath.  4 (x-5)=x+7. 4x-20=x+7. 3x=27. x=9. A full explanation: 4(x-5)=x+7 (expand the equation ...

Okay so let's say that the equation of the line you are given is y=2x+3 and you are told this new line must pass through the coordinates (2,4). The first thing we need to do is check we understand every b...