Brian McLogan
How to take the derivative using the product rule with sine
👉 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...
Brian McLogan
Learn how to determine concavity of a polynomial function
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...
Brian McLogan
Find the double derivative of the natural logarithm
👉 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
Summary for solving a system of two linear equations by elimination
👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Flipping Physics
(part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity
Now that we have dropped the ball into the bucket, we can determine the final velocity of the ball right before it strikes the bucket. Don't forget that velocity is a vector and has both magnitude and direction. Yep, component vector...
Flipping Physics
(Torque Solution) Acceleration of a Wheel descending on a Rope
A rope is wrapped around a bicycle wheel with a rotational inertia of 0.68MR^2. The wheel is released from rest and allowed to descend without slipping as the rope unwinds from the wheel. In terms of g, determine the acceleration of the...
Curated Video
Exponential Decay: Understanding the Formula and Solving Problems
This is a lesson on exponential decay, which is the opposite of exponential growth. The presenter explains that exponential decay occurs when the growth rate is negative and provides examples of how to calculate the values of a and b in...
Catalyst University
Fick's First Law (1): Diffusion, Flux, and Concentration Gradients
Fick's First Law (1): Diffusion, Flux, and Concentration Gradients
Curated Video
Determining the Equation of a Polynomial Graph
In this video, the teacher explains how to determine the equation of a polynomial graph by analyzing its end behavior and zeros. They provide examples and step-by-step instructions, highlighting the importance of understanding...
Brian McLogan
Use baby numbers to evaluate the right hand limit of a rational function
👉 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...
Brian McLogan
Using negative exponents to avoid using quotient rule to take the derivative
👉 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
Finding the quotient and domain of two functions
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
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
How to find the vertex and axis of symmetry then graph using a table of values
👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Catalyst University
Mannitol Salt Agar (MSA) | Results & Theory
Here, I explain the results and theory underlying mannitol salt agar. I also show a flow-chart that guides the student in interpreting the result correctly.
Curated Video
Predicting Population Percentages Using a Graphing Calculator
In this video, students learn how to predict population percentages using a graphing calculator. The lesson focuses on the normal model and its application to data sets. It also covers the use of the empirical rule and explores different...
Catalyst University
Lever Test | Rationale & Interpretation
In this video, I explain and demonstrate the lever test, a special test used in the assessment of ACL injuries. More specifically, we cover the test procedure, interpretation of results, and psychometrics.
Catalyst University
Exercise Physiology | Skeletal Muscle Force-Velocity Relationship
Exercise Physiology | Skeletal Muscle Force-Velocity Relationship
Catalyst University
Biomechanics | Torque Problem #1b (Elbow Joint) [Calculate Joint Reaction Force]
This is the second part of the first torque problem about the elbow joint in which we calculate the joint reaction force at the elbow joint.
Brian McLogan
Learn how to use the second derivative test to determine relative extrema
👉 Learn how to find the extrema of a function using the second derivative test. The second derivative test states that if a function has a critical point for which f'(x) = 0, and the second derivative is positive, then the function has a...
Brian McLogan
Learn how to determine concavity and point of inflection AP style
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...
Brian McLogan
Learn how to solve using quadratic formula
👉 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...
Curated Video
Introduction to Writing Coordinate Pairs on the Coordinate Plane
In this video, students learn how to write coordinate pairs for points on a coordinate plane. The teacher explains the process of moving along the X and Y axes to determine the X and Y values of each point. The video also highlights...
Curated Video
Multiplying Rational Numbers: Fractions and Decimals
In this video, the teacher explains how to multiply rational numbers other than integers. They review the process of multiplying fractions and decimals, and then demonstrate patterns of multiplying positives and negatives.