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Differentiation allows you to find the rate of change of a variable relative to another, which is basically the gradient. So if you had a speed-time graph, finding the amount that speed changes over a giv...

First, what is a tangent? A line which touches a circle (or ellipse) at just one point. In our case (-3,2)
As it touches the line at one point, it is perpendicular the radius at (-3,2). Which implies...

When solving equations such as these we have two variables which represent two numbers. In order to solve them we want to isolate and remove one of the variables so we are only left with one, we do this b...

Addition of fractions involve the finding of a common denominator. This would aid the addition.
The multiplication of fractions can be made much easier through finding if they can be made smaller thr...

The gradient of the line L is -2 so the gradient of the line perpendicular to L will be the negative reciprocal of -2 which is 1/2.The equation of the line perpendicular to L will be y=mx+c where m is the...