Curated Video
Introduction to Notation and Derivatives
The video discusses the different notations used to calculate the gradient of a function or the instantaneous rate of change of a function. The presenter first summarizes the previous lecture on the function, FX, and how it relates to...
Catalyst University
Postulates of Quantum Mechanics: Hermitian Operators 2
Postulates of Quantum Mechanics: Hermitian Operators 2
Brian McLogan
What is the antiderivative of sinx
👉 Learn how to find the antiderivative (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...
Brian McLogan
Learn how to find the derivative of the integral
👉 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
How to integrate using u substitution
👉 Learn how to find the antiderivative (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...
Brian McLogan
Learn to evaluate the integral with functions as bounds
👉 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...
Catalyst University
Postulates of Quantum Mechanics: Hermitian Operators 1
Postulates of Quantum Mechanics: Hermitian Operators 1
Brian McLogan
How to apply u substitution to a rational function
👉 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
Applying the chain rule using negative exponents to take the derivative
👉 Learn how to find the derivative of a function using the chain 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...
Math Fortress
Differential Equations: Definitions and Terminology (Level 2 of 4)
This video introduces the basic definitions and terminology of differential equations. This video goes over 4 basic examples covering how to classify ordinary differential equations by order and linearity.
Brian McLogan
Learn how to use the definition of a derivative to evaluate the limit
👉 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
How to use the definition of a derivative to evaluate the limit
👉 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
Easy way to find the derivative given the definition of derivative
👉 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 using quotient rule inside of the product rule
👉 Learn how to find the derivative of a function using the quotient 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
How to take the derivative using limit notation of the derivative
👉 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 change in height of a cone being filled with water, related rates
Find the change in height of a cone being filled with water, related rates
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...