Brian McLogan
Pre-Calculus - How to evaluate the composition of two functions and determine the domain
Learn how to compose two functions where one or both of those functions is/are radical. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...
Brian McLogan
Math tutorial for determining the equation of the inverse of a given function
π Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is...
Brian McLogan
Identifying vertical, horizontal asymptotes and holes
π Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Master evaluating trigonometric functions using period as an aide
Master evaluating trigonometric functions using period as an aide
Flipping Physics
Thin Ring Electric Field
In this video, we will determine the electric field at point P, which is located on the axis of a uniformly charged ring of charge Q and radius a, a distance x from the center of the ring. We will use Coulomb's law and an integral to...
Curated Video
Deep Learning - Deep Neural Network for Beginners Using Python - Chain Rule for Backpropagation
In this video, you will learn about the chain rule for backpropagation. This clip is from the chapter "Deep Learning" of the series "Deep Learning - Deep Neural Network for Beginners Using Python".In this section, we will dive deeper...
Brian McLogan
How to determine if a function graph has an inverse and if the inverse is a function
π Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is...
Brian McLogan
Solving a falling ladder problem using related rates
π Learn how to take the derivative of a function. 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...
Professor Dave Explains
Estimating Sums Using the Integral Test and Comparison Test
How to estimate sums using the integral test and comparison test.
Catalyst University
The Infamous Sum of Counting Numbers is NOT -1/12
The Infamous Sum of Counting Numbers is NOT -1/12
Brian McLogan
Learn how to find the values that are not defined for the expression
π Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Math Fortress
Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 1 of 3)
This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions.
Virtually Passed
Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 1
This video only proves the first formula; that the derivative of internal shear force wrt length along the bar is equal to the negative of the distributed load (dV/dx = -w). The second formula (dM/dx = V) is in Part 2. It's very easy to...
Brian McLogan
How to factor out a common term to solve a quadratic equation
πLearn 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...
Math Fortress
Calculus II: Integration By Parts (Level 2 of 6)
This video goes over 3 examples, covering the proper way to use the integration by parts formula. This video includes an example covering the two forms of the integration by parts formula, an example where rewriting of the integrand is...
Math Fortress
Calculus II: Integration By Parts (Level 4 of 6)
This video goes over an example, covering the proper way to find integrals that require the repeated application of the integration by parts formula specifically an integral that generates a constant multiple of the original integral. In...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 1 of 10)
This video is a review of number lines and coordinate systems. This video goes over the basic concepts and terminology of one dimensional, and two dimensional coordinate systems. This video concludes with an introduction to three...
Brian McLogan
Learn how to find the antiderivative of a polynomial
π 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
How to determine if the derivative exist from the left and right of a absolute value
π Learn how to determine the differentiability of an absolute value function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that...
Math Fortress
Calculus II: Integration By Parts (Level 1 of 6)
This video goes over a second integration technique used to find indefinite integrals formed by a product of functions. This video goes over the derivation of the integration by parts formula by using the product rule as a starting...