Differentiating functions given parametrically
In this article we shall explore how to find the gradient of a curve that has been given in parametric form. The important rule to remember when working with curves that have been described...
Tagged: Alevel Core 4
Area under the curve of parametric equations
This article continues from the previous article. It may be a good idea to read through it before attempting this. This articles explores how to find the area. We know that to find the...
Converting parametric equations into Cartesian equations
This article continues from the previous article. It may be a good idea to read through it before attempting this. This article explores how to convert parametric equations into a Cartesian equation. We shall...
Using parametric equations to define coordinates
This article explores using parametric equations to define coordinates of a point. Parametric equations can be used to define the coordinates of a point. In parametric equations the coordinates of x are expressed as...
Parametric equations
In the following series of articles we shall explore parametric equations in coordinate geometry. The following articles shall look at sketching the graph of a curve given its parametric equation, using the parametric equation...
Repeated linear factors in the denominator of partial fractions
This article is a continuation from the previous article. This article explores partial fractions with repeated linear factors in the denominator. A fraction that has repeated linear factors in the denominator can be expressed...
Three or more linear factors in the denominator of partial fractions
This article is a continuation from the previous article. This article explores partial fractions with three or more linear factors in the denominator. Fractions with more than two linear factors in the denominator can...
Two linear factors in the denominator of partial fractions
This article is a continuation from the previous article. I recommend reading through it before attempting this. This article explores partial fractions with two linear factors in the denominator. We can split fractions with...
Quick adding and subtracting algebraic fractions summary
This quick entry summaries the techniques used in subtracting and adding algebraic fractions. Below are some examples; Fractions denominator common multiple In the following examples we shall explore how to find the common denominator...
Implicit differentiation
This chapter explores implicit differentiation. The chapter covers differentiating a function defined implicitly; Finding equations of tangents and normals to curves defined implicitly. Before attempting this chapter you must have prior knowledge of basic...