Select Page ## Increasing Functions

Learn how to show that a function is always increasing using its derivative In simple terms, to say that a function is increasing or decreasing means that the graph is sloping up or down. Slope is measured by gradient which is associated with derivatives. So... ## Logarithmic Equations

Learn how to solve equations which contain logarithms Equations which contain logarithms may seem intimidating at first. But, with some experience, are actually quite straight-forward. The key to solving an equation with logarithms is to get rid of the logarithm. That... ## Collinear Points

Learn how to show that three points lie in a line (collinear) using vectors Showing that three points lie in a straight line (i.e. collinear) is a straight-forward process. It can be achieved using gradients or vectors. In this video I explain the vector method which... ## Areas & Definite Integrals

Definite Integrals and the Area Under a Curve A common integral Calculus problem is to find the area under a curve – and also the area between curves. In fact, this is often the first application of integrals that students learn. Finding such an area is...