Brian McLogan
How to determine the global max and min from a piecewise function
π Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which...
Brian McLogan
Rationalizing the radical to evaluate the limit
π Learn how to evaluate the limit of a function by rationalizing the radical. 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...
Brian McLogan
Learn how to find the critical values of a function
π Learn how to find the critical values of a function. The critical values of a function are the points where the graph turns. They are also called the turning points of a function. To obtain the critical points of a function, first, we...
Math Fortress
Calculus II : Integration By Parts (Level 6 of 6)
This video goes over two examples| covering the proper way to find definite integrals that require the use of multiple integration techniques. Specifically| integration by parts and u-substitution.
Brainwaves Video Anthology
Jason Ohler - Reinventing Education
Dr. Jason Ohler is a professor emeritus, speaker, writer, teacher and cyber researcher. He is also a lifelong digital humanist who is well known for his passion, insight, and humor he brings to his presentations, projects, and...
Brian McLogan
Use the quotient rule inside of the chain rule
π 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...
Brian McLogan
Learn how to write the domain of a rational function using interval notation
π Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Learn to take the second derivative of exponential chain rule
π 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
Eliminating the parameter for parametric equations linear
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Flipping Physics
Calculating Average Drag Force on an Accelerating Car using an Integral
A vehicle uniformly accelerates from rest to 3.0 x 10^1 km/hr in 9.25 seconds and 42 meters. Determine the average drag force acting on the vehicle.
Brian McLogan
Implicit differentiation using power rule
π 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...
Virtually Passed
Optimal path to rescue friend - Math Puzzle
Your friend starts moving in a line with a speed u. You arrive T seconds later and can drive after him in whatever path you like with a speed v. What path guarantees you intersect his position? Timestamps: 0:00 - Introduction & Question...
Math Fortress
Calculus II: Integration By Parts (Level 3 of 6)
This video goes over 2 examples, covering the proper way to find integrals that require the repeated application of the integration by parts formula. In addition, the tabular method for integration by parts is also introduced.
Brian McLogan
How to take the third derivative of a polynomial
π Learn how to find the higher derivative of a 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 function...
Brian McLogan
How to take the derivative using the chain rule in calculus
π 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
Calculus II: Trigonometric Integrals (Level 4 of 7)
This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 2 basic example illustrating the case...
Brian McLogan
Learn how to determine the local max and min from a graph
π Learn how to determine the extrema, the intervals of increasing/decreasing, and the concavity of a function from its graph. The extrema of a function are the points where the graph changes from increasing to decreasing or vice versa. A...
Brian McLogan
Values b and c that make the piece wise function differentiable
π Learn how to determine the differentiability of a 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 the function is...
Flipping Physics
AP Physics C: Simple Harmonic Motion Review (Mechanics)
Calculus based review of Simple Harmonic Motion (SHM). SHM is defined. A horizontal mass-spring system is analyzed and proven to be in SHM and itβs period is derived. The difference between frequency and angular frequency is shown. The...
Brian McLogan
How to use the chain rule with a square root
π 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...
Virtually Passed
Optimal path to swim across river in least time - Math Puzzle (HARD)
0:00 - Introduction 0:29 - Speeds 1:23 - Total time 1:47 - Constraint 2:37 - Euler Lagrange 4:20 - Solution 5:05 - MATLAB solution 5:42 - MATLAB solution using solver
Catalyst University
JUST "THE WHY": Introduction to Limits (Why Use Them?)
JUST "THE WHY": Introduction to Limits (Why Use Them?)
Virtually Passed
Can YOU find the offset of this circle? Math Puzzle
Can you find the offset of the circle using length data from the offset to the edge? My first MANIM assisted video :) ββββββββββββββββββββββββββ Timestamps: 0:00 - Question 0:59 - Find L 2:54 - Lmin & Lmax 4:14 - Solve for x0 & y0 5:54 -...