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This question is asking us to find the first order derivative of f(x) with respect to x, then the second order derivative when x=1/2i) Firstly, let's consider (d/dx)4/x:There are two ways to think about d...
When we find the product of two terms that has the same base (in this case, a), we can simply add the powers. This can be explained using knowledge of squares and cubed. a2 = a...
firstly explain (x-3)2 = (x-3)(x-3) on the whiteboard I'd draw a square grid with each of the numbers, then I'd multiply out. E.g. x multiplied by x = x2; x multiplied by -3 = -3x an...
There are 2 ways to solve simultaneous equations which are by substitution or elimination. In this example you can use both but elimination is simpler. So we have 2x + 7y = 14 and x + y = 2. To use elimin...
With the methods we know at A Level we cannot current differentiate xx in its current form. Therefore let y = xxTo turn it into a form we can differentiate we take the natural log o...
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