Search over 10,000 free study notes

For a curve where y = f(x) the gradient of the curve is the derivative of this equation dy/dx. Stationary points of a curve occur when the gradient of the curve is zero. Hence find the expression for dy/d...

2x-5=3x+4 Firstly, you move the +4 to the other side (-5-4=-9). The equation should now look like: 2x-9=3x. You then move the 2x to the other side (3x-2x=x) so your answer would be x=-9

Firstly, we want to start off by calculating how many litres of diesel the lorry uses when it drives for 200 miles. We know that with 1 litre of diesel, the lorry can drive for 35 miles. Knowing this, we ...

Finding the gradient or area underneath a graph

Simultaneous equations can be solved either using substitution or elimination.
For this example we will use substitution to work out the answer, which will involve rearranging one of the equations (...