Equation of a normal to a curve
You must have a general understanding of graph gradients, tangents, normals and derivatives. This would probably be a reminder rather than a lesson. You must know that a normal is perpendicular to the tangent....
Category: Calculus
Equation of a tangent to a curve
You must have a general understanding of graph gradients, tangents, normals and derivatives. This would probably be a reminder rather than a lesson. Finding the equation of a tangent to a curve involves finding...
Integration of exp(x) and 1/x
In differentiation we know that ex differentiates to ex as follows. Since integration is the opposite of differentiation it must mean that: Suppose we wanted to find out the integration e4x, Think about it...
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...
Simpson's Rule
Before attempting this reading it would be a good idea to learn the trapezium rule here, because I won’t go so much into details about the logic behind. I will concentrate more on how...
Trapezium rule
The trapezium rule is a method of finding the approximate value of the value of an integral between certain limits. In other words the trapezium rule is a way of calculating the area under...
Integration
Before attempting this topic you must have some prior knowledge of differentiation. Integration is an important concept in mathematics and is seen in maney applications. Integration and differentiation operations are a major part in...
Stationary Points
A stationary or turning points on a graph, is the point where the gradient is equal to zero. It is often useful to find and understand the stationary points on graphs especially in engineering....
Differentiating
In this topic I’ll be concentrating on differentiating polynomials. To differentiate a function means to find the gradient of the function, that is finding the difference between the y-axis dy and dividing it with...
Differentiation of Trigonometric Functions
When differentiating trigonometric functions, here are some of the rules that you should know; Derivative of sin x Derivative of cos x Derivative of tan x Derivative of cot x Derivative of sec x...