Curated Video
Population Growth and Exponential Formulas: Predicting the Future
In this lesson, students will learn how to determine population growth using an exponential formula. They will review solving for exponents and learn how to deal with exponents inside logarithms. Through examples and calculations, they...
Curated Video
Using Natural Logarithms to Solve Exponential Equations
This video explains how to solve equations with exponential variables using natural logarithms. It covers the properties of natural logarithms and demonstrates how to find the value of the variable in different scenarios. The lesson also...
Curated Video
Solving Polynomial Equations: Finding Solutions and Factoring
In this video, the teacher explains how to solve polynomial equations by factoring and using the remainder theorem. They provide step-by-step examples and show how to find all the solutions to the equations.
Curated Video
Adding Polynomials by Combining Like Terms
Understand the concept of degree and how it relates to the exponents in polynomial terms. Through examples and the use of algebra tiles, students will practice adding polynomials and see that the sum is always a polynomial.
Catalyst University
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Brian McLogan
Determine the derivative by using the rules of exponents to simplify
👉 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...
Curated Video
Understanding Negative Exponents: Exploring Patterns and Making Connections
This video explains how to apply negative exponents by exploring patterns and connecting them to existing rules. The students learn that negative exponents can be undone by dividing or multiplying by the reciprocal. They also discover...
Brian McLogan
Overview of Linear equations - 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...
Why U
Pre-Algebra 27 - Raising Exponential Expressions to Powers
If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.
Curated Video
Determining End Behavior of Graphs by Analyzing Equations
In this video, the teacher explains how to determine the end behavior of a graph by analyzing its equation. They discuss power functions with even and odd exponents, and how the graphs change as the exponent increases. The teacher also...
Curated Video
Writing Explicit Equations for Exponential Relationships
In this video, the teacher explains how to find the explicit equation for an exponential relationship by identifying the constant multiplier and initial value. The process involves analyzing patterns in the data and using the general...
Curated Video
Interpreting Graphical Behaviors Using Exponential Properties
In this video, the teacher explains how to interpret graphical behaviors using the properties of exponents. They discuss exponential growth and decay functions, as well as transformations and reflections of these functions. The...
Curated Video
Exploring Exponential Growth: The Power of Cell Division
In this video, the concept of exponential growth is explored using the example of cell division. By representing the number of cells each day in a table and observing the pattern, the concept of exponents or powers is introduced.
Brian McLogan
Find the values where the function has horizontal tangents
👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the...
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...
Brian McLogan
How to determine the inverse of an exponential equation
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Curated Video
Solving Exponential Equations with Logarithms
In this lesson, students learn how to solve exponential equations when the base is not 10 or E by using logarithms. They are taught the property that the logarithm of a base to the X power is equal to X times the logarithm of the base....
Brian McLogan
Solving an exponential equation with e on the denominator
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Curated Video
Implement arithmetic operations in a computer program : Arithmetic Operators
From the section: Basics. In this section, we look into comments, variables and its types, list, tuples, dictionary, various operators, and loops in details. An arithmetic operator is a mathematical function that takes two operands and...
Brian McLogan
How do you determine if you have a linear equation
In this video series I show you how to determine if a relation is a linear relation. A linear relation is a relation where their are variables do not have negative or fractional, or exponents other than one. Variables must not be in the...
Brian McLogan
Solving an exponential equation using the one to one property
👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
Brian McLogan
Using the inverse of an exponential equation to find the logarithm
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...