Brian McLogan
Find the difference quotient for a quadratic in standard form
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Evaluate the limit of a piecewise function with a hole
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
Learn to find the derivative of sine minus theta
👉 Learn how to find the derivative of trigonometric functions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Brian McLogan
How Solve a System of Equations Using Elimination
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Brian McLogan
Determine a line perpendicular to to another through a given point using point slope form
👉 Learn how to write the equation of a line that is perpendicular to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various...
Brian McLogan
Finding the slope between two points
👉 Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
KnowMo
Laws of Indices: Basic and Advanced Rules
This video is a lesson on the laws of indices in mathematics. The speaker begins by explaining the basic special indices, such as anything to the power of 1 is the value itself, and anything to the power of 0 is 1. Next, the speaker...
KnowMo
Introduction to Standard Form
This video is a lecture presentation that introduces standard form, a system for expressing numbers in a common format, which helps condense large and small numbers into a more calculable format. The presenter explains how standard form...
KnowMo
Geometric Proof Using Vectors
This video provides an overview of geometric proof using vectors, covering topics such as parallel vectors, collinear points, and resultant vectors. The presenter explains how to represent vectors using notation and how to work with them...
FuseSchool
Inequalities | Algebra | Maths | FuseSchool
An equal’s sign means two expressions are equal to one another. But sometimes the expressions are not equal… we might only know that something is bigger than or smaller than something else… this is where inequalities come into play....
Brian McLogan
Graphing the exponential function with transformations
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
How to Simplify Pythagorean Identities | 18 Examples
In this video I will show you how simplify 18 expressions using only the Pythagorean identities. We will cover I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences...
Brian McLogan
Learn how to use one to one property of logarithms to solve an equation
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
What are even and odd functions
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
Label the transformations domain and range from exponential function
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
KnowMo
Quadratic and Cubic Graphs: Shapes, Plotting, and Analysis
The video explains how to graph quadratic and cubic equations, including identifying the shape of the curve and distinguishing between positive and negative quadratic equations. The video also covers how to plot graphs by finding X and Y...
Brian McLogan
What is the quotient rule of logarithms
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
When given the vertices and eccentricity find the equation of an ellipse
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
How to find the focus of a parabola given an equation
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
Identify the transformations and domain and range, square root function
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Finding the equation of an ellipse given a point and vertices
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
How to find the exact value using the half angle formula for cosine
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
Using the the half angle formula for sine to evaluate
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
Apply the FTOC to evaluate the integral with functions as the bounds
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...