Brian McLogan
Find the slope between two points when undefined
👉 Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
Second FTC example with cube root
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Flipping Physics
Force of Gravity and Gravitational Potential Energy Functions from Zero to Infinity (but not beyond)
The force of gravity and the gravitational potential energy between an object and a planet is derived and graphed, inside and outside the planet.
Brian McLogan
How to determine if a piecewise function is continuous or not with limits
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
What you Need to Know about Functions for Pre-Calculus
What you Need to Know about Functions for Pre-Calculus
Brian McLogan
How to determine the increasing and decreasing values
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
Evaluate the left and right hand limit by graphing the function
👉 Learn how to evaluate the limit of an absolute value function. 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 absolute value...
Brian McLogan
How to apply the 2nd ftc with secant squared
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Simplifying 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
Learn how to determine the limit of a logarithmic function
👉 Learn how to evaluate the limit of a transcendental function. 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 of a function...
Brian McLogan
How to evaluate for a value the product of two functions
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Flipping Physics
Power and Calculus
The derivative power equation is introduced and used to derive the integral work equation of power with respect to time. Want Lecture Notes? https://www.flippingphysics.com/power-calculus.html This is an AP Physics C: Mechanics topic.
Virtually Passed
Second Moment of Area Example 3
Ix is the second moment of area about the x axis. Choosing the value of dA is the important part for this problem. In this example where we're dealing with a section of a circle, it's easier to use cylindrical coordinates dA = r dr...
Brian McLogan
Convert point from polar to rectangular
Learn how to convert points between rectangular and polar. Rectangular points measure the horizontal and vertical distance away from the origin whereas polar coordinates measure the direct distance and angle in standard position from the...
Brian McLogan
Learn how to solve a proportion by applying cross multiplication
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Catalyst University
Physical Differentials (1 of 2): Newtonian Transformations
Physical Differentials (1 of 2): Newtonian Transformations
Brian McLogan
Learn how to evaluate a piecewise function for different values
👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...
Brian McLogan
Factoring a quadratic trinomial when a=1 to find the solutions
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
How to determine the slope between two points using the formula
👉 Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
Learn how to factor out the GCF to solve a quadratic equation
👉Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
How to find the height of a ball and time it takes using velocity
👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of...
Brian McLogan
Learn to evaluate a piecewise function
👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...