Catalyst University
Physical Differentials (2 of 2): Coulombic Transformations
Physical Differentials (2 of 2): Coulombic Transformations
Brian McLogan
Take the derivative of the equation of a circle with respect to t
👉 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...
Brian McLogan
Learn how to use the product rule to find the derivative
👉 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...
Virtually Passed
Proof of e #shorts
A quick and dirty proof for the numerical constant e. There are other more efficient ways of calculating 'e' rather than from the (1+1/u)^u formula.
Brian McLogan
Use u substitution with trigonometric functions
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
Integrate the cosine of an exponential expression
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Curated Video
Logical Concepts: Consequence and Equivalence
The video explains the logical concepts of consequence and equivalence. It defines logical consequence as when a statement A being true implies that statement B is true and logical equivalence as when statement A being true implies that...
Brian McLogan
Learn how to integrate u substitution with trig
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
Integrate using u sub and trig sine and cosine
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Apply u substitution with a binomial squared
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
How to determine when a function is decreasing at a decreasing rate from a table
👉 Learn how to determine whether a function is increasing or decreasing from the function's table of values. Given a table of value of a function, we determine whether the function is increasing or decreasing by obtaining the difference...
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
Find the derivative my distributing and getting common denominators AP
👉 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...
Curated Video
Logical Concepts of Consequence and Equivalence
This video is a lecture that explains the logical concepts of consequence and equivalence. The speaker defines logical consequence as the scenario where if a statement A is true, then we can deduce that statement B is also true. The...
Brian McLogan
Take the derivative of the area of a square with respect to t
👉 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...
Brian McLogan
Derivative of trig and in chain rule
👉 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...
Math Fortress
Differential Equations: Implicit Solutions (Level 2 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate...
Catalyst University
Quantum Mechanics | Commutation of Operators [Example #2]
In this video, I do one example for determining whether or not two quantum operators commute [position & momentum (x-dir)]. Previous example (Example #1): https://youtu.be/tCd2U-ACr9o
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
Find the derivative of exponential with the base as a fraction
👉 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...
Professor Dave Explains
The Quantum Barrier Potential Part 1: Quantum Tunneling
Now that we've covered the particle in a box, we are familiar with the concept of a quantum problem. Let's move on to our second quantum problem, that of the quantum barrier potential. With this one, we don't have an infinite square well...
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.