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1. The minus sign indicates that the answer is a reciprocal meaning basically 1 over.2. Next, on inspection of the fraction, the 2 on top means that you square the number, times it by itself...

Differentiate each term in the equation separately then put then put the differentiated equation back together.First we start with (2x³):2 x 3 = 6 and 3-1=2 so we get the differentiated term of...

The general rule for differentiation is multiply by the power and decrease the power by one.
So if we take each term individually starting with 5x^2, and multiply by the power giving 10 then reduce t...

There are 2 methods of solving this: completing the square or calculus, which makes this a versatile question for both GCSE and A Level students. It is also fairly simple to adapt.
Using calculus, th...

First rearrange x - 2y = -3 by adding 2y to each side to give x = -3 + 2ySubstitute this into the first eq. to give 3(-3 +2y) + y = 19Expand brackets first: -9 + 6y + y = 19Rearrange and simplify by colle...