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A stationary point is a point on the function where the gradient is zero. The phrase 'stationary point' coming up in a question always indicates that differentiation may be useful to solve it. In this cas...

As there are two unknowns we have to eliminate either the x or the y in order to be able to solve. You can see that in the first equation the x value is a multiple of the x value in the second equation. T...

We use differentiation to generally find the rate of change for a function. This could also be interpreted as finding the gradient of a curve. e.g. y = x ^ 2.

If you consider the curve, it has a di...

To differentiate this function you will need the chain rule - differentiating what's inside the brackets and multiplying it by differentiating what's outside the brackets. In this case sin(2x) goes to 2co...

When we are asked to solve simultaneous equations, what we are being asked to do is find the point where two lines cross. In this case, where we are given two straight lines, there will only be one point ...