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Brian McLogan
How to simplify the difference quotient of a function
👉 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...
Math Fortress
Calculus II : Integration By Parts (Level 6 of 6)
This video goes over two examples| covering the proper way to find definite integrals that require the use of multiple integration techniques. Specifically| integration by parts and u-substitution.
Virtually Passed
Optimal Path Around Quicksand - Math Puzzle (HARD)
What is the optimal path to travel from start to finish in the least time? Your speed is = the distance you are from the pit. Here I show one optimal path! #SoME1 Timestamps: 0:00 - Introduction & Question 0:52 - Total Time: Cartesian...
Math Fortress
Calculus III: The Dot Product (Level 6 of 12)
This video goes over the dot product also known as the scalar product. This video goes over 5 Intermediate level examples that require the use of dot product.
Brian McLogan
Use the quotient rule inside of the 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...
Brian McLogan
Learn to use the properties of logarithms to take the log of the expression
👉 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...
Curated Video
Completing the Square with a > 1: Using Models and Symbols
Learn how to complete the square with or without a model when the coefficient of x^2 (a) is greater than one. Explore the process step by step, using both an area model and the traditional method. By comparing the two approaches, you...
Brian McLogan
Learn how to write the domain of a rational function using interval notation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Second derivative of a rational expression
👉 Learn how to find the higher derivative of a 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 function...
Catalyst University
Real Gas Behavior | The Hard Shell Model [Example #2]
In this video, we work with the Hard Shell gas mode to calculate the work done by an expanding gas. Uses integration calculus.
Brian McLogan
Take the derivative of exponential with negative power
👉 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...
Curated Video
Simplifying Expressions with Parentheses
Understand the importance of following the order of operations and how to identify which operations to do first by using parentheses. By using this technique, students can simplify complex expressions and solve them correctly.
Catalyst University
The Acid-DIssociation Constant (Ka) and pKa
The Acid-DIssociation Constant (Ka) and pKa
Curated Video
Solving Multistep Word Problems with Positive and Negative Decimals
In this lesson, students will learn how to solve multistep word problems involving positive and negative decimals using mathematical reasoning. They will be guided through an example problem where a student named Henry wants to purchase...
Curated Video
Simplifying Algebraic Expressions by Combining Like Terms
In this video, the teacher explains how to simplify algebraic expressions by combining like terms. They provide examples and visuals to help students understand the concept. The lesson emphasizes the importance of coefficients and...
Professor Dave Explains
Gauss’s Law for the Magnetic Field
We've covered Gauss' Law for the Electric Field, but what about the magnetic field? That's covered in the second of Maxwell's equations, which we'll discuss in this video. Gauss' Law for the Magnetic Field displays the simplest facts...
Curated Video
Completing the Square Using Algebra
In this video, you will learn how to complete the square using algebra. We go through the steps to determine the values of A, B, and C in a quadratic expression and how to use them to complete the square. Through these examples, you will...
Curated Video
Polynomial Identity and Combined Area of Consecutive Squares
In this video lesson, students will learn how to describe the combined area of two squares using consecutive integers. They will explore polynomial identities and how to write expressions to represent the relationship between consecutive...
Brian McLogan
How to use the pythagorean identity to simplify an expression
👉 Learn how to simplify rational identities involving addition and subtraction. To simplify rational identities involving addition and subtraction, first, we find the LCM of the denominators which most time is the product of the terms in...
Brian McLogan
Implicit differentiation using power rule
👉 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...
Virtually Passed
Optimal path to rescue friend - Math Puzzle
Your friend starts moving in a line with a speed u. You arrive T seconds later and can drive after him in whatever path you like with a speed v. What path guarantees you intersect his position? Timestamps: 0:00 - Introduction & Question...
Math Fortress
Calculus II: Integration By Parts (Level 3 of 6)
This video goes over 2 examples, covering the proper way to find integrals that require the repeated application of the integration by parts formula. In addition, the tabular method for integration by parts is also introduced.
Catalyst University
Kinetics: The Steady-State Approximation
Kinetics: The Steady-State Approximation