Differentiation basics
Differentiation Basics Differentiation is a tool of mathematics that is primarily used for calculating rates of change. It is basically the difference between two points on a line with respect to some independent variable....
Category: Differentiation
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...
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...
Differentiation of Logarithmic Functions
You can find derivatives for logarithms functions as well. Here is the first rule that will help you when working with such functions. It will be best to your advantage to be very familiar...
Differentiation Applications
Applications of differentiation take advantage of the stationary points calculations. And below I shall be showing such differentiation applications. There are three types of stationary points as you must know, these are the maximum, minimum and...
Graph of y=ln x and Graph of y=e^x
The following is a sketch of two graphs; the y = In x and y = ex These graphs are just a reflection or inverse of each other in the line y=x as the...
Tangents and Normals
This article is only useful if you know what tangets are. Be able to find gradients of tangents and be able to form general formulas for tangents. This is just an expansion from Gradient...
Gradient of a Tangent to a curve
Calculating the gradient of a tangent to a curve can be very useful in mathematical calculations. Some mechanical structures such as ramps, rides are usually modelled around mathematical curves. In some cases there is...