Catalyst University
Power Series: Computing Integrals via Power Series: Example 1
Power Series: Computing Integrals via Power Series: Example 1
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
Take the second derivative of a natural logarithmic equation
👉 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...
Brian McLogan
Derivative of arcsine and simplify to common denominators
👉 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...
Brian McLogan
How to apply the quadratic formula to a quadratic with fractions
👉 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...
Brian McLogan
Solve a System of Linear 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
Determining if equations are linear - Free Math Videos - Online Tutor
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must...
Brian McLogan
Learn how to add two mixed numbers with unlike denominators
👉 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...
Catalyst University
Power Series | Power Series & Interval of Convergence: Example 3
Power Series | Power Series & Interval of Convergence: Example 3
Brian McLogan
Domain of a rational function by factoring
👉 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...
Curated Video
Identifying Extraneous Solutions in Rational Equations
In this video, the teacher explains how to check for extraneous solutions in rational equations. They demonstrate the process step by step, emphasizing the importance of isolating x and avoiding 0 as a denominator.
Brian McLogan
Implicit differentiation with the chain rule and in
👉 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...
Curated Video
Dividing Numbers in Scientific Notation Using Exponents
In this video, the teacher explains how to divide numbers in scientific notation using the property of exponents. They review dividing powers with the same base and demonstrate how to simplify the quotient by removing common factors.
Brian McLogan
How to find the domain of a rational equation
👉 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
Using the half angle formula for sine
👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Brian McLogan
How to rationalize the radical to evaluate a limit
👉 Learn how to evaluate the limit of a function by rationalizing the radical. 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 limit...
Curated Video
Dividing Exponential Expressions
In this video lesson, students learn how to divide exponential expressions by observing and generalizing a pattern. The teacher explains the concept of exponents and reviews the rule that states any number divided by itself is one....
Brian McLogan
Overview of implied domain of functions
👉 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
Limits at infinity
👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Brian McLogan
Evaluate the limit of a rational expression with a hole
👉 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...
Curated Video
Understanding Fractions: Part of a Set
In this video, students will learn how to understand fractions as part of a set. They will be taught to identify the numerator and denominator in a fraction, and how these numbers represent the part of the set and the total number of...
Brian McLogan
Take the derivative by using implicit differentiation and properties of logarithms
👉 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...
Curated Video
Subtracting Fractions with Like Denominators Using an Area Model
This video teaches students how to subtract fractions with like denominators using an area model. It explains the concept of numerators and denominators, emphasizing that only the numerators need to be subtracted to determine the...
Curated Video
Multiplying Fractions by Fractions Using Area Models
In this video, the teacher explains how to multiply fractions by fractions using area models. Through a real-world example of feeding fish to whales and penguins, the teacher demonstrates step by step how to solve the problem.