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There are two things to understand with this question: 'differentiate' and 'with respect to x'we differentiate when we need to find how quickly something changes, which in maths usually means the gradient...

15 x 0.08 = £1.20 which means Nadia has £5 - £1.20 = £3.80 remaining£3.80/0.3 = 12.6 recurring so 12 whole rulers can be bought 12 x 0.3 = £3.60 spent on rulers£3.80 - £3.60 = £0.20 change remaining £0.20...

In order to solve this equation without using a calculator we will need to factorise. The first step in factorising this equation is to rewrite our 17x as two separate terms. The coefficients of these nee...

If AB=BC=CD then the difference between each of the points is the same. If we look at the difference between A and B we can see that B is 6 further to the right, and 3 further up. So if we then add (6,3) ...

We factorise the equation by completing the square.Take y=x² + ax + bWhen we complete the square we have y= (x+1/2a)²-a²+b which is y= (x+1/2a)² + c where c = -...