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We differentiate here to find the gradient, dy/dx, i.e. the differenitial of y in terms of x. As the right handside is purely dependant on x, this is simple. We can just multiply through by the power, i.e...

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