👉 Learn how to find the derivative of a function using the quotient 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...

👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...

This lesson begins with a review of equivalent fractions and the concept of common denominators. It then demonstrates how to deconstruct mixed numbers into fractional parts and multiply to form equivalent fractions. Finally, the video...

👉 Learn how to add and subtract mixed numbers. Mixed numbers are numbers with two parts: the whole number part and the fraction part. Mixed numbers are ways to represent improper fractions using proper fractions.To add or subtract mixed...

Demonstrating how sine and cosine simple harmonic motion waves can create circular motion.

👉 Learn how to find the derivative of a function using the product 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...

👉 Learn how to find the derivative of the inverse 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...

The newly expanded National Fire Research Laboratory (NFRL) at NIST allows researchers to study how entire office buildings, hospitals and bridges react to fire under controlled laboratory conditions. This extraordinary nearly 2,000...

In this video, the teacher explains how to expand linear expressions with fractions using an area model and the distributive property. They cover important vocabulary such as linear expression and rational coefficients, and also discuss...

Convert a rectangular equation to polar form

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...

Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...

University of Rochester electrical engineer Mark Bocko has combined his passion for music with his passion for engineering, devising a way to digitally reproduce music in files 1,000 times smaller than an mp3! But along with this new...

This video tells the fascinating story of these thousand years of history, from around 500 A.D. to 1400 A.D. The Middle Ages are an incredibly dynamic period of history. So much of what we are familiar with today, from states to...

In this video, students learn about the concept of the additive inverse by combining opposite quantities. The teacher explains the absolute value and opposite numbers, using examples to illustrate how they are related.

Composite functions



In the introduction to functions video, we discovered what functions are, what domain and range mean and how to solve some

problems.

We saw that they could be called f(x) or
g(x) or any...

👉 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...

👉 Learn how to find the derivative of a function using the product 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...

In this video, the teacher explains how to combine polynomials without like terms by adding and subtracting them. They demonstrate different methods, such as vertical addition and creating tables, to help students understand the concept.

This is a lecture video on Newton's first law that explains how the force applied to objects affects their motion. The video starts with a recap of forces and how multiple forces can be combined to give a resultant force. The video then...

In this video, we learn how to expand linear expressions with multiplication, addition, and subtraction. We explore the concept of rational coefficients and the importance of combining like terms. The properties of real numbers, such as...

Learn how to add/subtract rational expressions with monomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...

👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...

Learn the basics about the law of constant composition and how to apply it.



The law of constant composition states that in a given chemical compound, all samples are made up of the same elements combined in the same...