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A stationary point implies that the gradient at this point will be equal to 0, it is a turning point in the graph. So we need to find the value of X at which dy/dx = 0. [where dy/dx is the gradient.]So we...

Recall the identity ((cos x)^2+(sin x)^ 2=1). Rearrange the identity to give cos x in terms of sin x. Substitute this into the equation. Rearrange so all terms are on one side of the equation and factorie...

Each year his money will increase by 2%, meaning he will get 102% of his money from the previous year. This can be written as 1.02. After n years, he will make 8000 x 1.02 ⁿ. Calculate this for...

Using the equation (x+y)²=xy² as an example base to see how it would work in practice. The most important fact is that dy/dx =y'. Simply put, the derivative of y is ...

Partial fractions and long division have the same purpose which is to decompose complex expressions into simpler ones in order to easily deal with them in calculations. Think of them as t...