Brian McLogan
How to add two functions reciprocal functions and find the domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Curated Video
Dividing Fractions by Multiplying the Reciprocal
In this video lesson, students will learn how to divide fractions by multiplying the dividend by the reciprocal of the divisor. The lesson explains the concepts of proper fractions, improper fractions, and mixed numbers, and demonstrates...
Curated Video
Division of Whole Numbers by Unit Fractions Using the Multiplicative Inverse
In this video, the teacher explains how to divide whole numbers by unit fractions using the concept of the multiplicative inverse. They provide examples and visuals to help students understand the process and avoid common mistakes.
Curated Video
Dividing Unit Fractions by Whole Numbers Using the Multiplicative Inverse
In this lesson, students will learn how to divide unit fractions by whole numbers using the concept of the multiplicative inverse. By understanding the relationship between division and finding fractional parts, students will gain a...
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)
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...
Curated Video
Understanding the Signs of Trigonometric Functions in Quadrants
This video explains the proper signs of trigonometric functions by determining the signs of x and y in all four quadrants. It also introduces the concept of reciprocal trig functions and emphasizes the importance of understanding the...
Brian McLogan
Given a point find the six trigonometric functions of the angle
In this video series I show you how to evaluate the six trigonometric functions when given a point. We do this by creating a right triangle and finding the hypotenuse by using the Pythagorean theorem. #trigonometry...
Brian McLogan
Graphing the reciprocal function with multiple transformations
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
Brian McLogan
How to add, subtract, multiply and divide fractions, 2/3 + 3/5
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Curated Video
Dividing Mixed Numbers by Fractions by Multiplying by the Reciprocal
In this video lesson, students learn how to divide mixed numbers by fractions by multiplying by the reciprocal. The teacher explains the concept using real-life examples and models, demonstrating different strategies for solving division...
Curated Video
Determining Correct Units for Answers
In this video, students learn how to determine the units for their answers when using formulas. The teacher explains the importance of including units in calculations and highlights common mistakes. Through examples involving volume,...
Curated Video
Dividing Whole Numbers by Fractions: Multiplying by the Reciprocal
In this lesson, students will learn how to divide whole numbers by fractions by multiplying by the reciprocal. They will understand the concept through models and examples, and also learn how to use multiplication to solve fraction...
Brian McLogan
Determine the six trigonometric functions for a negative angle in radians
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Given a point find the six trigonometric functions
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
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...
Brian McLogan
Find the Given Angle Given its Coordinate on the Unit Circle
👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Brian McLogan
Find the six trigonometric functions when given sine and a constraint on cosine
👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...
Brian McLogan
Learn how to determine the derivative of a reciprocal function
👉 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...
Brian McLogan
Given two functions that are inverses find the derivative
👉 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
Given an angle and constraint find the six trig functions of the angle
👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...
Brian McLogan
Evaluating the six trigonometric functions given a right triangle
👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
Brian McLogan
Find the derivative of the reciprocal function using the difference quotient
👉 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...
Brian McLogan
Evaluating the sum and difference for Secant
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...