Brian McLogan
How to write the equation of the tangent line with implicit equation
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
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...
Why U
Pre-Algebra 10 - Factoring
Any natural number can be decomposed into a product of prime factors. Prime factorization is fundamental to many arithmetic operations involving fractions.
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...
Brian McLogan
Taking the derivative of two binomials using product and chain rule
👉 Learn how to find the derivative of a function using the chain 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...
Curated Video
How to Measure the Speed of Wind
In this video, we explore the fascinating topic of measuring wind speed. We learn about the units used, the different types of anemometers used to measure wind speed, and the importance of understanding wind speed in various aspects of...
Brian McLogan
Evaluating a limit by factoring
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Find the local extrema using the first derivative test
👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...
Curated Video
Introduction to Nanoparticles: Size, Properties, and Applications
This video explains what nanoparticles are and how their small size affects their physical and chemical properties, particularly in relation to their surface area-to-volume ratio. The video highlights potential applications of...
Curated Video
Interpreting Division: Matching Equations to Real World Examples
In this lesson, students will learn the meaning of division by matching equations to real-world examples. They will understand that division is the inverse of multiplication and involves breaking a whole into equal groups.
Science360
Insect battles provide clues to evolution - Science Nation
There's much to learn from animal warfare, even when the animals are barely visible Description: The seemingly peaceful atmosphere in an organic garden on the University of Florida campus belies the battles happening among many of its...
Brian McLogan
How to implicitly differentiate an evaluate through a point
👉 Learn how to find the derivative of an implicit function. 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 to find the x values that make a horizontal tangent implicitly
👉 Learn how to find the derivative of an implicit function. 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...
R Programming 101
Data types in R programming
In this video I provide an overview of the five main types of data used in R programming. These are character, factor, integer, continuous and logical. I show how you can look at the structure of a dataframe and change the data type for...
National Institute of Standards and Technology
What Is The Computational Power of the Universe?
Can a close look at the universe give us solutions to problems too difficult even for a planet-sized computer to solve? Physicist Stephen Jordan considers this question and more in our latest video.
Brian McLogan
Derivative using chain rule inside product rule
👉 Learn how to find the derivative of a function using the chain 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
Apply the evt and find extrema on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which...
Brian McLogan
Learn how to find increasing decreasing intervals and extrema of a function
👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...
Curated Video
Finding the Product of a Fraction and a Mixed Number Using Area Models
In this video, the teacher explains how to find the product of a fraction and a mixed number using area models. They emphasize the importance of converting the mixed number to an improper fraction and demonstrate the process step by step.
Curated Video
Dividing with a Sharing Model
In this lesson, students learn how to divide using a sharing model. The teacher demonstrates the process of sharing chocolates and doughnut holes equally among a group of kids. By drawing and counting carefully, students understand the...
Brian McLogan
How to Find All of the Zeros Including Complex When Given a Polynomial
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. 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...
Brian McLogan
Given the Factors Determine All Zeros and Write as a Product of its Factors
👉 Learn how to find all the zeros of a polynomial given one rational zero. 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...
Brian McLogan
Learn how to use the trapezoidal rule with 4 sub intervals
👉 Learn how to approximate the integral of a function using the trapezoid area approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Curated Video
Completing the Square: Transforming Quadratic Equations
In this lesson, students will learn how to complete the square in quadratic equations using both models and symbols. They will understand the steps involved in transforming a quadratic equation and how to factor perfect squares.