Area between a curve and the y-axis
Before attempting this maths learning it might be a good idea to go through the lesson of finding the area below the curve along the x-axis, because I won’t cover the basics and the...
Tagged: Calculus
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...
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....
Quotient Rule
The quotient rule can be used to differentiate fractions or find derivative of a fraction function, In this topic I will be showing you how to find the derivative using the quotient rule. the...
Product Rule
The product rule is used to difrentiate two sets of functions, for example y = 3x(x2 + 4), ex(x5 + 5), and x8 (inx + 6) If you observe these functions you will see...
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...