Curated Video
Identifying Extraneous Solutions in Radical Equations
In this video, the teacher explains how to identify extraneous solutions in radical equations. They emphasize the importance of avoiding negative numbers under a square root and explain that a negative radicand leads to an extraneous...
Brian McLogan
Learn how to use the second derivative test for relative extrema radical function
👉 Learn how to find the extrema of a function using the second derivative test. The second derivative test states that if a function has a critical point for which f'(x) = 0, and the second derivative is positive, then the function has a...
Brian McLogan
How is the quadratic formula derived
👉 Learn all about the quadratic formula. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by x = (-b +/- sqrt(b^2 - 4ac)) / 2a, where a is the...
Math Fortress
Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 2 of 3)
This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions using the constant multiple, sum and difference rule.
Brian McLogan
Learn how to find the points of inflection for an equation
👉 Learn how to find the points of inflection of a function given the equation or the graph of the function. The points of inflection of a function are the points where the graph of the function changes its concavity. The points of...
Virtually Passed
Conservation of Energy Part 2: Kinetic Energy
I derive the formula for Kinetic Energy and show that the total work done by all the forces acting on an object = 0.5 m (V2^2 - V1^2)
Brian McLogan
Solve using the quadratic formula with complex solutions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Flipping Physics
Calculating the Force of Impact when Stepping off a Wall
A 73 kg mr.p steps off a 73.2 cm high wall. If mr.p bends his knees such that he stops his downward motion and the time during the collision is 0.28 seconds, what is the force of impact caused by the ground on mr.p?
Math Fortress
Calculus III: The Dot Product (Level 10 of 12)
This video goes over the dot product also known as the scalar product. This video covers direction angles and direction cosines. 3 examples are also covered illustrating how to solve problems involving direction angles and direction...
Brian McLogan
Finding the magnitude and direction of a vector from a word problem
In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...
Virtually Passed
parallel axis theorem proof
A formal proof of the parallel axis theorem. It's really useful for finding moments of inertia of composite objects and also objects which aren't rotating around the center of mass.
Math Fortress
Calculus III: Two Dimensional Vectors (Level 10 of 13)
This video is a review of Two Dimensional Vectors. This video goes over 6 examples that make use of unit vectors.
Curated Video
Data Science and Machine Learning with R - A Simple Model
This video demonstrates a practical application of machine learning. This clip is from the chapter "Linear Regression: A Simple Model" of the series "Data Science and Machine Learning with R from A-Z Course [Updated for 2021]".This...
Curated Video
Introduction to Imaginary Numbers
In this lesson, students will learn about imaginary numbers by exploring the concept of the imaginary unit, denoted by the letter "I." They will understand that imaginary numbers, such as I, exist outside of the real number system and...
Why U
Pre-Algebra 32 - Irrational Numbers
Although the Greeks initially thought all numeric qualities could be represented by the ratio of two integers, i.e. rational numbers, we now know that not all numbers are rational. How do we know this?
Brian McLogan
Find the derivative using the power rule
👉 Learn how to find the derivative of a function using the power rule. 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...
Brian McLogan
Solving a quadratic equation using inverse operations
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Curated Video
Simplifying Positive Integer Powers of I using Remainders
In this lesson, students will learn how to simplify positive integer powers of the imaginary unit, "i". By considering the remainder when the exponent is divided by 4, students can easily determine the simplified value. The lesson...
Curated Video
Identifying Function Properties Using Algebra and Real-World Examples
In this lesson, students will learn how to determine whether relations are functions by using the vertical line test and analyzing algebraic equations. They will understand that not all equations are functions, and that it is important...
Brian McLogan
How to Find All of the Zeros of a Polynomial by Factoring, Including Imaginary
👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Curated Video
Finding the Side Length of a Square Given the Area
In this video, the teacher explains how to find the side length of a square when given its area. They demonstrate the process using different examples and variables. The teacher emphasizes the importance of using the same variable for...
Brian McLogan
Review of how to set up a point to evaluate six trigonometric functions
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Curated Video
Graphing Square Root Functions Using T-Charts
In this video, the teacher explains how to graph square root functions by creating a T-chart. They demonstrate how to find the square root of perfect square numbers and plot the corresponding coordinates on a graph.
Brian McLogan
Derivatives of exponential and chain rule
👉 Learn how to find the derivative of exponential and logarithmic expressions. 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...